Question

find the unknown angle measure. figure is not to scale x° x° 23° x = \boxed{ } ° question 5

Explanation:

Step1: Identify triangle type

The triangle has two equal sides (marked with ticks), so it's isosceles. Thus, two angles are equal (the base angles, both \( x^\circ \)).

Step2: Use triangle angle sum

The sum of angles in a triangle is \( 180^\circ \). So, \( x + x + 23 = 180 \).

Step3: Solve for \( x \)

Combine like terms: \( 2x + 23 = 180 \). Subtract 23: \( 2x = 180 - 23 = 157 \). Divide by 2: \( x = \frac{157}{2} = 78.5 \).

Answer:

\( 78.5 \)