Question

what are the values of v and w?
g
w
v
i
37°
h
v =
w =

Explanation:

Step1: Use the property of isosceles triangle

Since two sides of the triangle are equal (marked with red tick - marks), \(\angle H=\angle I = 37^{\circ}\), so \(v = 37\).

Step2: Use the angle - sum property of a triangle

The sum of angles in a triangle is \(180^{\circ}\). Let \(\angle G=w\). Then \(w+37^{\circ}+37^{\circ}=180^{\circ}\).

$$w=180^{\circ}-(37^{\circ}+37^{\circ})$$

$$w = 180^{\circ}-74^{\circ}$$

$$w=106^{\circ}$$

Answer:

\(v = 37\), \(w = 106\)