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What is the value of p ? Please help

What is the value of p ? Please help-example-1

1 Answer

2 votes

Answer:

The correct answer is option A 43°

Explanation:

From the figure we can see a triangle and two exterior angles are given.

To find the value of p

Here we consider two angles be <1 and < 2, where <1 is the linear pair of angle measures 90° and <2 be the linear pair of angle measures 133°

m<1 = 180 - 90 = 90° and

<2 = 180 - 133 = 47

By using angle sum property

m<1 + m<2 + p = 180

p = 180 - (m<1 + m<2)

= 180 - (47 + 90)

= 180 - 137

= 43°

Therefore the correct answer is option A 43°

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