Question

in the given figure PO AB if x:y:z = 2:3:4 then find the degree measure of x y z​

Answer 1

Answer:

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°