Two straight lines AB and CD cut each other at O if angle BOD 70 then measure of angle BOC

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Kennesaw State University

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Find the measure of the acute or right angle formed by intersecting lines so that $C$ can be mapped to $\mathrm{C}^{\prime}$ using two reflections. A rotation of $84^{\circ}$ maps $\mathrm{C}$ to $\mathrm{C}^{\prime}$

Question 1 Exercise 25(A)

Answer:

Solution:

∠BOD = ∠AOC

(Vertically opposite angles are equal)

∠BOD = 50°

(ii) ∠AOD

∠AOD + ∠BOD = 180°

∠AOD + 50° = 180° (From i)

∠AOD = 180° - 50°

∠AOD = 130°

(iii) ∠BOC = ∠AOD

(Vertically opposite angles are equal)

∠BOC = 130°

Video transcript

"Hello, they'll complete and me. We are going to see a question. That is two straight lines a b and c d intersect each other at Point O. So these two stages you can see on the speaker intersecting at Point O and the angle AOC three phrases. It is given angle AOC is 50 degrees find the angle BYOD angle a or D and angle B or C are going to convert these three things. So see here is a straight angle. You know it straight. If it is going to be 180 degrees, so if you want to find this angle angle B or C. So we are going to find out you can subtract sine Theta minus 50. So Angry Beaver see, he's You Take by a representative try so y equals to how much 180 degrees minus 50 degrees because the complete angle is 50 is complete angle, which is straight angle is 50 The 180 minus 50 is 130 degrees. So angle Y is 130 degrees then the same thing we got here. He was his third one. We got the colony. Can you find out what is Bo Bo D. This is they're going to find out so you can find out directly BYOD with which is also filtering. It is opposite which is opposite vertically opposite angles are equal. So it is also 50 degrees. So angle B. What is that? Like 50 degrees this first one we look at the second one angle you what is asked Jo Dee so Cute from the longest particular operator equal right, so you got y equals to 130. So be was the a a body also 130k body also 130 degrees. So I hope you understand this video and thanks for watching this video. "

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Two straight lines AB and CD cut each other at O. If ∠BOD = 63°, then ∠BOC =

Let us draw the following diagram showing two lines AB and CD intersecting each other at a point O.

Let the required angle ∠BOC measures x°.

Also, ∠BOCand ∠BODform a linear pair. Therefore, their sum must be equal to 180°.

That is,

∠BOC +∠BOD = 180°

It is given that. ∠BOD = 63°Substituting, this value above, we get:

∠BOC +63° = 180°

∠BOC = 180° - 63°

∠BOC =117°

Concept: Introduction to Lines and Angles