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∠x. (b) find m∠v.

Explanation:

Step1: Identify isosceles triangle in part (a)

In triangle $WXY$, since $WX = WY$ (indicated by the marks), $\triangle WXY$ is isosceles. So, $m\angle X=m\angle Y$. Given $m\angle Y = 70^{\circ}$, then $m\angle X=70^{\circ}$.

Step2: Identify equilateral triangle in part (b)

In triangle $TUV$, since $TU = UV=TV = 10$, $\triangle TUV$ is equilateral. In an equilateral triangle, all angles are equal and the sum of interior - angles of a triangle is $180^{\circ}$. Let $m\angle V=x$. Then $3x = 180^{\circ}$, so $x=\frac{180^{\circ}}{3}=60^{\circ}$.

Answer:

(a) $70$
(b) $60$