Question

Algebra find the value of x in each triangle

Answer 1

In all cases, take into account that the sum of the interior angles of a triangle is equal to 180°. Then, for the first triangle you have:

2x + 2x + x = 180 simplify like terms left side

5x = 180 divide by 5 both sides

x = 180/5

x = 36

For the second triangle:

7x + 3x + 90 = 180 subtract 90 both sides

7x + 3x = 180 - 90 simplify like terms both sides

10x = 90 divide by 10 both sides

x = 90/10

x = 9

For the third triangle:

x + x + 2x = 180 simplify like terms left side

4x = 180 divide by 4 both sides

x = 180/4

x = 45