Question

In AXYZ, if ZX: ZZ is 5:4 and 2Y = 72°. Find ZX and ZZ​

Answer 1

∠ZX =  80° and ∠ZZ =  64°.

Step-by-step explanation:

Given,

In ΔXYZ,

2Y = 72° ⇒ Y = 36°

Let 5x, 4x be the angle of ZX and ZZ of ΔXYZ.

∴ 5x + 4x = 180°  - 36° = 144°

⇒  9x = 144°

⇒  x = 16°

∴ 5x = 5 × 16° = 80°

and 4x = 4 × 16° = 64°

Hence, ∠ZX =  80° and ∠ZZ =  64°.