In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint of BC. If DE = 4x + 4, and AC = x + 36, what is the measure of DE?
В.
D
E
A
С

DE = 20 units

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

PROCEDURE :-

According to Triangle Midsegment Theorem ,

Multiplying 2 on both the sides ,

∴ DE = 4×4 + 4 = 20 units

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180

answer:

step-by-step explanation: