Question

Find the values of x, y, z from the following diagram:​

Answer 1

Answer:

X=44 degree (opposite angles)

z=51 degree .(opposite angles)

y =180-(51+44)=

180-95=85 (angle in a straight line will alway 180 degree so

X+y+z=180)

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Answer 2

Given :-

• ∠a = 51°
• ∠b = 44°

To Find :-

• ∠X
• ∠Y
• ∠Z

Solution :-

$\longrightarrow \: \angle \: a \: = \angle \: z \: ( \: vertically \: opposite \: angles)$ $\therefore ∠z\: = 51 \degree$

$\longrightarrow \: ∠b = ∠x$

$\therefore \angle \: x \: = 44 \degree$

$\longrightarrow \: ∠x + ∠z + ∠y = 180° \\ (Straight \: angles)$

$\longrightarrow \: 44 + 51 + y = 180 \degree \\ \longrightarrow \: 95 + y = 180\degree \: \: \: \: \: \: \: \: \: \: \\ \longrightarrow \: y = 180 - 95 = 85\degree$

Therefore,

• ∠x = 44°
• ∠y = 85°
• ∠z = 51°

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