215k views
17 votes
In triangle XYZ, the measure of ∠Y is 64°. The measure of ∠Z is (3/4) the measure of ∠Y. What is the measure of ∠X?

User Hcp
by
3.5k points

1 Answer

3 votes

Answer:

68°

Explanation:

Calculation for What is the measure of ∠X

Measure of ∠X=180°−(64°+3/4×64°)

Measure of ∠X=180°−(64°+0.75×64°)

Measure of ∠X=180°−(64°+48°)

Measure of ∠X=180°−112°

Measure of ∠X=68°

Therefore the measure of ∠X will be 68°

User Svinjica
by
3.9k points