Triangle ABC is similar to triangle FGH. Angle A measures 42 degrees. Angle B measures 19 degrees. Find the measure of angle H.

Question

asked Sep 4, 2018 232k views

2 Answers

Brian Kessler · Answer 1 · 2018-09-09T01:28:35+0000

Answer:

The measure of the angle H is 119°.

Explanation:

Since, when two triangles are similar then their all corresponding angles are congruent or equal in measure,

Given,

$\triangle ABC\sim \triangle FGH$

By the above statement,

$m\angle A=m\angle F$

$m\angle B=m\angle G$

$m\angle C=m\angle H$

We have,

$m\angle A=42^(\circ)$ and
$m\angle B=19^(\circ)$

Since,
$m\angle A+m\angle B+m\angle C = 180^(\circ)$

$\implies m\angle C=180^(\circ)-m\angle A - m\angle B=180^(\circ)-42^(\circ)-19^(\circ)=119^(\circ)$

$\implies m\angle H=119^(\circ)$

Hence, the measure of the angle H is 119°.