Question

for each part below, use the figure to fill in the blank. if necessary, you may learn what the markings on a figure indicate. (a) find m∠v. (b) find m∠x. m∠v=□° m∠x=□°

Explanation:

Part (a)

Step1: Identify triangle type

Triangle \( \triangle VUT \) has \( VU = UT = TV = 6 \), so it's equilateral.

Step2: Equilateral triangle angles

In an equilateral triangle, all angles are \( 60^\circ \). Thus, \( m\angle V = 60^\circ \).

Part (b)

Step1: Identify triangle type

Triangle \( \triangle WXY \) has \( WX = YX \) (marked with ticks), so it's isosceles with \( \angle W = \angle Y = 40^\circ \).

Step2: Sum of triangle angles

Sum of angles in a triangle is \( 180^\circ \). So \( m\angle X = 180^\circ - 40^\circ - 40^\circ = 100^\circ \).

Answer:

s:
(a) \( \boldsymbol{60} \)
(b) \( \boldsymbol{100} \)