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aalyn [17]
3 years ago
5

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

Mathematics
1 answer:
ElenaW [278]3 years ago
8 0

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)

<u>Step 1</u>

As per the  Angle Addition Postulate,

m∠DBE+m∠CBE=m∠DBC

<u> Step 2</u>

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

Hence,

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

<u>Step 3</u>

Lets solve the equation  for x

We know that 0.4x-76= 90

0.4x= 166

x=166/0.4

x=415

<u>Step 4</u>

<u>Answer :</u> The value of x is 415

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