Math, asked by swetha6236, 10 months ago

an exterior angle of a triangle is 105° and its two interior opposite angles areequal find the angles​

Answers

Answered by ejojohnv
1

Answer: The angles of the triangle are 52.5°, 52.5° and 75°.

Step-by-step explanation:

Let the opposite interior angles be x.

x + x = 105° (Exterior angle property of a triangle)

2x = 105

x = 105/2

x = 52.5

Two angles of the triangle = 52.5°

Let the third angle be y.

52.5 + 52.5 + y = 180°(Angle Sum Property)

105 + y = 180

y = 180 - 105

y = 75

Third angle of the triangle = 75°

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