Math, asked by sivdaskeshav, 9 hours ago

From the following figure, find the value of ∠AOC and ∠BOC?

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Answered by suhasiitiwarii

Answer:

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sharmasuhani2201

18.08.2020

Math

Secondary School

answered

In the given figure find angle BOC and angle AOC.

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Nivedita4209

Answer:

as AO PERPENDICULAR TO OB

BOTH THE ANGLES SHOULD BE EQUAL

FIRST FIND X

(2X-5) + (X-10)=90

2X-5+X-10=90

3X - 15 = 90

3X = 90 - 15

3X = 75

X = 75/3

X = 25

THEREFORE X = 25

AOC = 2X - 5

= 2*25 - 5

= 50 - 5

= 45

OTHER SHOULD BE 45 ONLY AS AOB IS 90 AS 45*2=90

Step-by-step explanation:

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Answered by ankhidassarma9

Answer:

∠AOC = 136°

∠BOC = 44°

Step-by-step explanation:

Supplementary angels are those angels that make a straight angle together. So, two angles are said to be supplementary angles when they add up to 180° . Two angles ∠A and ∠B are supplementary, if either one of these angles is an acute angle and another angle is an obtuse angle or both ∠A and ∠B are right angles.

This means that ∠A + ∠B = 180°.

If the supplementary angles that have a common arm and a common vertex, they are called adjacent supplementary angles.
Given , ∠AOC = 3a+4; ∠BOC = a;
From the given figure, we can see that ∠AOC and ∠BOC are Adjacent supplementary angels.

Hence , ∠AOC + ∠BOC = 180°

putting the value of ∠AOC and ∠BOC in the above equation,

⇒ (3a+4) + (a) = 180°

⇒ 4a + 4 = 180°

⇒ 4a = 180 - 4 = 176°

⇒ a = $\frac{176}{4}$

⇒ a = 44°.................................(i)

so, ∠AOC = 3a+4 = 3×44 + 4 = 132 + 4 = 136°

and, ∠BOC = a = 44°

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