The CE beam divides the right angle DCM into two angles DCE and ECM. Find the degree measure

The CE beam divides the right angle DCM into two angles DCE and ECM. Find the degree measure of these angles if the DCE angle is two-fifths of the DCM angle.

Given: right angle ∠ DCM = 90

beam [CE) divides a given angle into two angles

∠ DCE = 2/5 ∠ DCM

Find: ∠ DCE -? ∠ ECM -?

Solution: The angle ∠ DCM is divided into five parts. This is indicated by the denominator of the fraction: 2 / 5. And we took 2 parts, as indicated by the numerator of this fraction, Divide the angle by five and multiply by two. Find what is equal to ∠ DCE.

∠ DCE = ∠ DCM: 5 X 2 = 90: 5 X 2 = 36

To find the second angle ∠ ECM, subtract the angle ∠ DCE from the angle ∠ DCМ.

∠ ECM = ∠ DCM – ∠ DCE

∠ ECM = 90 – 36 = 54

Answer: ∠ DCE = 36, ∠ ECM = 54