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

Performing transformations
asked 2020-12-24

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

Answers (1)

By Angle Addition Postulate,
Since \(\displaystyle\angle{D}{B}{C}\) is a right angle as indicated by the square symbol, then \(\displaystyle{m}\angle{D}{B}{C}={90}°\). Hence,
Solve for x:
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