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Answer:
∠Q and ∠S are 105°
Step-by-step explanation:
∠P + ∠R = 150°
∠P +∠R +∠Q+∠S=360°(ANGLE SUM OF QUADRILATERAL IS ALWAY360°)
=>150° + ∠Q +∠S=360°
=>∠Q +∠S=360°-150°=210°
=>∠Q=210°÷2=105° or ∠S=210°÷2=105° (opposite angles of IIgm are equal)
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Answer:
In llgm PQRS
we know that opposite side of a llgm are equal to each other
let <p and <r be x
2x = 150
x=150
2
so x =75
therefore <p and <r is 75
we also know that sum of all <s of the llgm is 360°
let <q and <s be x
<p+<r+<q+<s=360°
150+2x=360°
360-150=2x
x=210
2
x=105
therefore <q and <s is 105°
hope its helpful
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