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Mathematics

Grade-8

Easy

Question

Find the measure of the unknown angle.

88^o
92^o
36^o
27^o

hint Hint:

angle SPR and angle QPR form a linear pair.
They are supplementary.
angle SPR + angle QPR = 180.

The correct answer is: 88^o

We know angle SPR and angle QPR form a linear pair.
So, they are supplementary.
angle SPR + angle QPR = 180.
88 +angle QPR =180
angle QPR = 180 - 88
angle QPR = 92
Given: Two sides of the triangle are equal.
So,PQ = QR
We know the angles opposite to equal sides are equal.
So,angle QPR = angle PRQ
angle PRQ = 92

We know,angle PRT and angle PRQ form a linear pair.
So, they are supplementary.
angle PRT + angle PRQ = 180
92 + p = 180
p =180 - 92
p=88
The measure of p is 88.

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