find the value of x and y in the given figure
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okwait...........m.............
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in triangles PQS
solve using angle sum property of a triangle
now
60 +x+ x = 180 .......angle sum property
60 + 2x = 180
2x = 180 - 60
2x = 120
x = 120 ÷ 2
x = 60
both the x are 60 and we can say that triangle PQS is a equilateral triangle
to find y
in triangle RQS
solve using angle sum property
now
30 + y + y = 180
30 + 2y = 180
2y = 180 - 30
2y = 150
y = 150 ÷ 2
y = 75
verification of the answers
by applying angle sum property in triangle PQS
60+60+60
= 180
hence x = 60
by applying angle sum property in triangle RQS
75+75+30
= 180
hence y = 75
hope it helps
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