Answer :
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