If two angles are supplementary and one angle is double the other, then the larger angle is *

Supplementary angles are two angles whose measures add up to 180 ° .

The two angles of a linear pair , like ∠ 1     and     ∠ 2 in the figure below, are always supplementary.

But, two angles need not be adjacent to be supplementary. In the next figure, ∠ 3     and     ∠ 4 are supplementary, because their measures add to 180 ° .

Example 1:

Two angles are supplementary. If the measure of the angle is twice the measure of the other, find the measure of each angle.

Let the measure of one of the supplementary angles be a .

Measure of the other angle is 2 times a .

So, measure of the other angle is 2 a .

If the sum of the measures of two angles is 180 ° , then the angles are supplementary.

So, a + 2 a = 180 °

Simplify.

3 a = 180 °

To isolate a , divide both sides of the equation by 3 .

3 a 3 = 180 ° 3         a = 60 °

The measure of the second angle is,

2 a = 2 × 60 °               = 120 °

So, the measures of the two supplementary angles are 60 ° and 120 ° .

Example 2:

Find m ∠ P     and     m ∠ Q if ∠ P     and     ∠ Q are supplementary, m ∠ P = 2 x + 15 , and m ∠ Q = 5 x − 38 .

The sum of the measures of two supplementary angles is 180 ° .

So, m ∠ P + m ∠ Q = 180 °

Substitute 2 x + 15 for m ∠ P and 5 x − 38 for m ∠ Q .

2 x + 15 + 5 x − 38 = 180 °

Combine the like terms. We get:

7 x − 23 = 180 °

Add 23 to both the sides. We get:

7 x = 203 °

Divide both the sides by 7 .

7 x 7 = 203 ° 7

Simplify.

x = 29 °

To find m ∠ P , substitute 29 for x in 2 x + 15 .

2 ( 29 ) + 15 = 58 + 15

Simplify.

58 + 15 = 73

So, m ∠ P = 73 ° .

To find m ∠ Q , substitute 29 for x in 5 x − 38 .

5 ( 29 ) − 38 = 145 − 38

Simplify.

145 − 38 = 107

So, m ∠ Q = 107 ° .

See also complementary angles .

Guys, does anyone know the answer?

get if two angles are supplementary and one angle is double the other, then the larger angle is from screen.

Two angles are supplementary and one angle is twice the other angle then, find the both angles.

Click here👆to get an answer to your question ✍️ Two angles are supplementary and one angle is twice the other angle then, find the both angles.

Question

Two angles are supplementary and one angle is twice the other angle then, find the both angles.

o ,55 o

o ,120 o

o ,140 o

o ,90 o Easy Open in App Solution Verified by Toppr

Correct option is B)

o

then other angle is 2x

o

(As twice of one angle)

Since two angles are supplementary

x o +2x o =180 o 3x o =180 o x= 3 180 ​ =60 o One angle is 60 o , Other angle 2x o =2×60 o =120 o

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SOLUTION: if 2 angles are supplementary and one angle is twice as large and the other, find the number of degrees in the measure of the smaller angle?

Algebra ->  Angles -> SOLUTION: if 2 angles are supplementary and one angle is twice as large and the other, find the number of degrees in the measure of the smaller angle?      Log On

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Two angles are complementary angles. One angle is twice as large as the other angle. Find the number of degrees in each angle

GEOMETRY Alexa T. asked • 02/06/14

Two angles are complementary angles. One angle is twice as large as the other angle. Find the number of degrees in each angle

Please help me!!!!!!!! I need help sooooo badly!!!

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2 Answers By Expert Tutors

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Vivian L. answered • 02/06/14

TUTOR 3 (1)

Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACH

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Hi Alexa; SMALL ANGLE...x LARGE ANGLE...2x

Complementary angles total 90-degrees.

x+2x=90 3x=90

Let's divide both sides by 3...

(3x)/3=90/3 x=30 2x=60

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Farid S. answered • 05/10/14

TUTOR 4.8 (32)

Experienced Math Tutor

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Complementary angles mean that the two angles, when added together, equal 90°.

Let's call the first angle x, and its second, complementary angle 2x.  So, we have x + 2x = 90.

Solving for x, we get x = 30.

Since the first angle was called x, that means it's measurement is 30°.  The second angle, 2x, is just twice the first angle, so its measurement is 60°.

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