Question

find the value of a ​

Answer 1

Answer:

a+54=180

a=180-54=126 degree.

answer =126degrees.hope it will help you

Answer 2

Solution :

To solve this , we need to do a bit of construction .

Draw a line passing through z , intersecting that angle and is parallel to LM .

Now , we need to apply some angle chasing here.

See the attachment above.

PZ is a transversal here .

Now , Angle PZM + Angle LMZ = 180° ( Supplementary angles )

> Angle PZM + 160° = 180°

> Angle PZM = 180° - 160° = 20°

Angle Z = Angle PZM + Angle PZY

So,

Angle PZY = Angle Z - Angle PZM

> 54° - 20°

> 34°. .

Now angle XYZ + Angle YZP = 180°

> a = 180° - 34°

> a = 146° .

This is the required answer .

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