Find the value of x if angle p =18

Question

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Answer 1

Given triangle POQ with PQ tangent to circle and angle POQ = x. Find the value of x if angle p = 18

Detailed Solution:

Therefore Angle Q = 90 (tangent to circle)

Angle P + Angle O + Angle Q = 180

18 + x + 90 = 180

x = 180 - 108

x = 72

Answer 2

Hi Evan!

Since PQ is tangent to the circle, it will form a right angle with the radius of the circle. Thus, angle ∠PQO=90°. Now we have 2 out of 3 angles in the triangle, so to find ∠x° we can subtract the other two angles from 180°. So ∠x°=180-90°-18°=72°.

Hope this helps!