Question

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

Answer 1

H=180-42+19
H=119

sum of angles of a triangle is 180

Answer 2

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°.