yolandamcgeeinoywo6f yolandamcgeeinoywo6f
  • 24-10-2019
  • Mathematics
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3valuate the diagram below. Find the values of m and n.

3valuate the diagram below Find the values of m and n class=

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jimrgrant1 jimrgrant1
  • 24-10-2019

Answer:

m = 20 and n = 35

Step-by-step explanation:

The triangle on the right has 2 congruent sides and is isosceles

Thus the 2 base angles are congruent, that is

n = [tex]\frac{180-110}{2}[/tex] = [tex]\frac{70}{2}[/tex] = 35

The external angle of a triangle is equal to the sum of the 2 opposite internal angles.

110 is an external angle to the triangle on the left, thus

m + 90 = 110 ( subtract 90 from both sides )

m = 20

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