Question

The measure of ZDBE is (0.2x - 31)° and the measure of ZCBE is (0.3x - 43). Find the value of x.

Answer 1

x = 32 units

Step-by-step explanation

The right angle indicates that the sum of angles that make up that region is 90°

So,

(Angle DBE) + (Angle CBE) = 90°

0.2x - 31° + 0.3x - 43° = 90°

0.5x - 74° = 90°

0.5x = 90° - 74°

0.5x = 16

Divide both sides by 0.5x

(0.5x/0.5x) = (16/0.50)

x = 32 units

Hope this Helps!!!