Find the degree measure of the angles in the given figure.
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Points in the interior R, C, N, X
Points in the exterior T, U, Q, V, Y
Points on the arms of the angles A, W, G, B
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Solution :
Here ,
•By linear pair , Sum of all angles is 180°
• ∠AOQ + ∠QOS + ∠SOB = 180°
=> z + 40° + z + 20° + z + 30° = 180°
=> 3z + 90° = 180°
=> 3z = 180° - 90°
=> z = 90°/3
=> z = 30°
• ∠AOQ = Z + 40° = 30°+40° = 70 °
• ∠QOS = z + 20° = 30° + 20 ° = 50°
• ∠ SOB = z +30° = 30° + 30° = 60°
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