Question

Po is perpendicular to ab. if x:y:z=1:3:5, then find the degree measure of x,y,z

Answer 1

I have uploaded a diagram with the answer of this question in attachments, so that it can be understood easily.
Solution:-
As given in the question that PO is perpendicular to AB.
so, ∠ AOP = 90°
also given that X : Y : Z = 1 : 3 : 5
⇒ ∠ POQ + ∠ QOR + ∠ ROA  = 90° = 1x + 3x + 5x = 90°
⇒ 9x = 90
⇒ x = 90/9
⇒ x = 10
Now putting the value of x.
we get, angle X = 10°
angle Y = 3 ×  10 = 30°
and angle Z = 5 × 10 = 50°

Answer 2

Solution:-

As given in the question that PO is perpendicular to AB.

so, ∠ AOP = 90°

also given that X : Y : Z = 1 : 3 : 5

⇒ ∠ POQ + ∠ QOR + ∠ ROA  = 90° = 1x + 3x + 5x = 90°

⇒ 9x = 90

⇒ x = 90/9

⇒ x = 10

Now putting the value of x.

we get, angle X = 10°

angle Y = 3 ×  10 = 30°

and angle Z = 5 × 10 = 50°