The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). Find the value of x.

The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). The value of x is 415

Step-by-step explanation:

Given that,

The measure of angle DBE   (0.1x - 22)

The measure of angle CBE (0.3x - 54)

Step 1

As per the  Angle Addition Postulate,

m∠DBE+m∠CBE=m∠DBC

Step 2

Since∠ DBC is a right angle as indicated by the square symbol, then m∠DBC=90°.

Hence,

(0.1x-22)+(0.3x-54)= 90

Step 3

Lets solve the equation  for x

We know that 0.4x-76= 90

0.4x= 166

x=166/0.4

x=415

Step 4

Answer : The value of x is 415