The measure of ∠DBE is (0.1x−22)∘ and the measure of ∠CBE is (0.3x−54)∘. Find the...

Clifland

Clifland

Answered

2020-12-24

The measure of DBE is (0.1x22) and the measure of CBE is (0.3x54). Find the value of x.

Answer & Explanation

lamanocornudaW

lamanocornudaW

Expert

2020-12-25Added 85 answers

By the postulate of angle addition,

mDBE+mCBE=mDBC 
Since DBC if the square sign indicates that it is a right angle, then mDBC=90°. Hence, 
(0.1x22)+(0.3x54)=90 
Solve for x: 
0.4x76=90 
0.4x=166 
x=1660.4 
x=415

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