Question

from the
figure x is ​

Answer 1

Answer:

Here, x= 60⁰

Step-by-step explanation:

Use the concepts of angle sum property in triangles and vertically opposite angles in this problem...

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Answer 2

SOLUTION:-

Answer

• x= 60°

Given

• ∠OPR= 95°

• ∠ ORP= 40°

• ∠ OSQ = 75°

To Calculate

• Value of x

Explanation

• ∠OPR= 95° [Given]

• ∠ ORP= 40° [Given]

• ∠ OSQ = 75° [Given]

We know that,

Sum of all angles of a triangle is 180

So,

∠OPR+∠ORP+∠POR =180°

95° + 40° + ∠POR = 180°

135 + ∠ POR = 180

∠POR= 180-135

∠POR=45°

∠POR = ∠SOQ ( V.O.A)

∠SOQ= 45°

Now,

Using angle sum property in Tri. OQS

∠OSQ+∠SQO+∠QOS=180°

75° + x + 45° = 180°

120 + x =180°

x= 180-120

x= 60°

Hence,

• Value of x= 60°

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