In the figure given below- - AOC -67- - BOC -113- and - AOB -123- - Which of the given options is correct-A- - AOC and - AOB are supplementary angles-B- - AOC and - BOC are complementary angles-C- - AOC and - BOC are supplementary angles-D- - B O C and - A O B are complementary angles-

The correct option is C AOC and BOC are supplementary angles. Two angles whose sum is 180^∘ are called supplementary angles. So in the given figure the sum of ...

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Standard VI

Mathematics

Supplementary Angles

In the figure...

Question

In the figure given below, $∠$ AOC= $67^{\circ}$ , $∠$ BOC= $113^{\circ}$ and $∠$ AOB= $123^{\circ}$ . Which of the given options is correct?

AOC and AOB are supplementary angles.

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AOC and BOC are complementary angles.

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AOC and BOC are supplementary angles.

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BOC and AOB are complementary angles.

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Solution

The correct option is C
AOC and BOC are supplementary angles.

Two angles whose sum is $180^{\circ}$ are called supplementary angles.
So in the given figure the sum of the $∠$ AOC and $∠$ BOC = $67^{\circ}$ + $113^{\circ}$ = $180^{\circ}$ .
Hence, $∠$ AOC and $∠$ BOC are supplementary.

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Question 25

In the given figure $∠ A O C$ and $∠ B O C$ form a pair of

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(d) supplementary angles

Q. In the given figure,
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∠ A O B = ∠ B O C = ∠ C O D = 38^{\circ}

,
find reflex angle

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and reflex angle

∠ A O D

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and

∠ A O D = 120^{o}

, find

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and angle

A O C

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In the figure given below, ∠AOC=67∘, ∠BOC=113∘ and ∠AOB=123∘. Which of the given options is correct?

The correct option is C AOC and BOC are supplementary angles. Two angles whose sum is 180∘ are called supplementary angles. So in the given figure the sum of the ∠AOC and ∠BOC = 67∘ + 113∘ = 180∘​. Hence, ∠AOC and ∠BOC are supplementary.

In the figure given below, $∠$ AOC= $67^{\circ}$ , $∠$ BOC= $113^{\circ}$ and $∠$ AOB= $123^{\circ}$ . Which of the given options is correct?

The correct option is C
AOC and BOC are supplementary angles.

Two angles whose sum is $180^{\circ}$ are called supplementary angles.
So in the given figure the sum of the $∠$ AOC and $∠$ BOC = $67^{\circ}$ + $113^{\circ}$ = $180^{\circ}$ .
Hence, $∠$ AOC and $∠$ BOC are supplementary.