Mathematics
Grade-8
Easy

Question

Find the measure of angle p in the given figure.

  1. p = 27o
  2. p = 21o
  3. p = 15o
  4. p = 17o

hintHint:

Here, p + 10 and 5p - 2 are the remote interior angles.
We know the measure of the exterior angle of a triangle is equal to the sum of the measures of its
remote interior angles.

The correct answer is: p = 17o


    Here, p + 10 and 5p - 2 are the remote interior angles.
    We know the measure of the exterior angle of a triangle is equal to the sum of the measures of its
    remote interior angles.
    So, p plus 10 plus 5 p minus 2 equals 110 degree
    6 p equals 110 degree minus 8 degree
6 p equals 102 degree
p equals fraction numerator 102 degree over denominator 6 end fraction
p equals 17 degree
    So, the measure of p is 17

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