Question

Hi pls help me in math im soo stuck:(((plss​

Answer 1

Answer/Step-by-step explanation:

a. First, find the value of a.

Sum of the interior angles of a triangle = 180° (triangle sum theorem)

Therefore:

3a + 2a + a = 180°

Add like terms

6a = 180°

6a/6 = 180/6

a = 30

Thus:

a = 30°

2a = 2(30) = 60°

3a = 3(30) = 90°

b. The triangle is an isosceles triangle because it has two sides that are indicated to be equal. This also implies that the angels opposite each of the equal sides are also congruent to each other.

Therefore, sum of the isosceles triangle would be:

2(2x) + 5x = 180°

4x + 5x = 180

9x = 180

9x/9 = 180/9

x = 20

Thus:

2x = 2(20) = 40

5x = 5(20) = 100