234k views
2 votes
Find the size of angle XYZ. Give your answer to 1 decimal place

Find the size of angle XYZ. Give your answer to 1 decimal place-example-1
User Hennep
by
6.7k points

2 Answers

3 votes
Sense a triangle with with perfect angles = 60° per angle, and the only measurement we really have is x which is 90°, so that means it shifted to the left by 30°, so we can find the y now by just taking off 30° which would just make y = 30° then we’re left with z and we can now just find out we have left for a because we have 2 angles confirmed which would make z = 60°.
60 + 30 + 90 = 180 = total degrees in a triangle
X=90
Y=30
Z=60
User Sccrthlt
by
6.9k points
8 votes

Answer:

66.4°

Explanation:

Let θ = ∠XYZ

cosθ = 6/15 = ⅖

θ = arccos(⅖) ≅ 66.4°

User Monali
by
7.2k points