Question

find x in the following figure

Answer 1

s=90°
q=90°
x=360°-(60°+70°+90°+90°)
x=360°-310°
x=50°

Answer 2

Answer:

Step-by-step explanation:

60°+<SRQ =180° ( linear pair )

<SRQ =180°-60°

<SRQ=120°

Similarly,

<TSR=90°,

<PTS=110°

And

We know that

Angle sum property of pentagon=540°

So,

<SRQ+<TSR+<PTS+<QPT+<RQP=540°

120°+90°+110°+<QPT+90°=540°

410°+<QPT=540°

<QPT=540°-410°

<QPT=130°

And ,<QPT+<x°=180(linear pair)

130°+ x°=180

x°=180-130

x°=50