Question

12. Each of the equal angles of an isosceles triangle is 10° less than half the vertical angle. What are the measurements of its base angles?​

Answer 1

Step-by-step explanation:

Let vertical angle be X.

Then

By question each of the equal angles of that isosceles triangle is X-10°.

We know that

The sum of angles of a triangle is equal to 180°

i.e. X+(X-10)°+(X-10)°=180°

→ 3X-20°=180°

→ 3X=200°

→ X=66.66°

Hence, the measurement of its base angles is 66.66°-10°=56.66°

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