Find the measures of the numbered angles in the figure, shown to the right. M<1= M<2= M<3= M<4

Question

asked Dec 6, 2022 131k views

1 Answer

Victor Moroz · Answer 1 · 2022-12-10T18:03:00+0000

Answer:

$\angle 1 = 101$

$\angle 2 = 101$

$\angle 3 = 101$

$\angle 4 = 101$

Explanation:

Given

The attachment

Require

Solve for
$\angle 1, \angle 2, \angle 3, \angle 4$

We start by solving for
$\angle 1$

$\angle 1 + 79 = 180$ ---- Angle on a straight line

$\angle 1 + 79-79 = 180 - 79$ --- Subtract 79 from both sides

$\angle 1 = 101$

$\angle 1 = \angle 2 = \angle 3$ --- Corresponding angles;

So, we have:

$\angle 2 = 101$

$\angle 3 = 101$

$\angle 1 = \angle 4$ --- vertically opposite angles

So, we have:

$\angle 4 = 101$