Question

In the given figure PQ||RS,<MXQ =135° and <MYR =40°, Find <XMY.​

Answer 1

Answer:

95⁰ is the correct answer

Step-by-step explanation:

As PQ ll AB,

Angle QXM+XMB = 180⁰ (sum of angles of the same side of a transversal is equal to 180⁰)

XMB = 180⁰-135⁰ = 45⁰

Then, AB ll RS,

Angle RYM = BMY ( interior opposite angles)

Angle BMY = 40⁰

Angle XMY = Angle XMB + BMY

= 45 + 40

=95⁰

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