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find the measure of angle p 47 94 86 133

Question

find the measure of angle p 47 94 86 133

Explanation:

Step1: Identify Triangle Type

The triangle has two equal sides (marked with ticks), so it's isosceles. Thus, angles opposite equal sides (∠P and ∠Q) are equal.

Step2: Sum of Triangle Angles

The sum of angles in a triangle is \(180^\circ\). Let \( \angle P = \angle Q = x \). Then \( x + x + 86^\circ = 180^\circ \).

Step3: Solve for x

Simplify: \( 2x = 180^\circ - 86^\circ = 94^\circ \). Then \( x = \frac{94^\circ}{2} = 47^\circ \).

Answer:

47