Question

please help me solve this .
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Answer 1

Answer:

Step-by-step explanation:

Angle a is equal to 30

We can prove this by using BPT theorem

Answer 2

1.  ΔXYZ is similar to ΔXRS

∴ By CPST , XY/YR = XZ/ZS = 4/6 = 5/b

on solving b= 7.5cm

∠XZY = ∠XSR = a = 30°

2. ΔABC is similar to ΔDEC

∴ By CPST , AB/DE = BC/CE ⇒ 7.3/y = 8/10 ⇒ y = 9.125

∠ABC = ∠DEC = 48°

In ΔDEC BY ANGLE SUM PROPERTY

∠C + ∠E + ∠D = 180°

X = 72°