Angle 1 is 50°. Which angle is also 50°?

Question

asked Sep 28, 2019 157k views

2 Answers

Pantsgolem · Answer 1 · 2019-10-03T15:33:28+0000

Answer:

(B) angle 3

Explanation:

It is given that the measure of
${\angle}1$ is
$50^(\circ)$ , then

${\angle}1={\angle}3=50^(\circ)$ (Because of the property of vertically opposite angles)

Also,
${\angle}1+{\angle}2=180^(\circ)$ (straight line property)

${\angle}2=180-50$

${\angle}2=130^(\circ)$

And,
${\angle}2={\angle}4=130^(\circ)$ (Because of the property of vertically opposite angles)

Thus, only
${\angle}3$ has the measure of
$50^(\circ)$ .

Hence, option B is correct.