Work out the size of angle x

Question

asked Jan 25, 2024 79.0k views

1 Answer

Kenecaswell · Answer 1 · 2024-01-29T22:09:40+0000

Answer:

$13^(\circ)$

Explanation:

Consider the smaller of the two triangles with angle
.

Using vertically opposite angles, one of the angles of this triangle is
$85^(\circ)$ .

Using corresponding angles combined with angles on a straight line, one of the angles is
$82^(\circ)$ .

Angles in a triangle add to
$180^(\circ)$ , so
x=13 .