Question

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find the value of x°

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Answer 1

Answer:

170°

Step-by-step explanation:

thanks for points

Answer 2

Question

Find the value of x

Answer

Value of x is 270°

Given

• PQ || RS
• ∠PXM = 50°
• ∠MYS = 120°

To Calculate

• Value of x

Construction

Draw AB such that PQ || AB || RS

Solution

PQ || AB, and XM is a transversal

∠PXM + ∠XMA = 180° [ Co-interior Angle ]

50° + ∠XMA = 180°

∠XMA = 180° - 50°

∠XMA = 130°

AB || RS and MY is a transversal

∠AMY = ∠MYS = 120° [Alternate Interior Angles]

According to figure,

$\bf ∠XMY = ∠XMA + ∠AMY$

$\bf \implies x - 20 \degree = 130\degree + 120\degree$

$\bf \implies x - 20 \degree =250 \degree$

$\bf \implies x = 250\degree + 20 \degree$

$\bf \implies x = 270\degree$

Therefore, Value of x is 270°.