Question

Its a parallelogram

(a)Find the value of x
(b)the length of KM
(c)the measure of angle HMK

Answer 1

see below

Explanation:

a) set the two equations equal to each other and isolate the variable

3x+8 = 7x-24

3x+32=7x

32=4x

x=8

b) Plug in the value of x we got into the equation

7(8)-24 = 56

56-24=32

c) Angle k and h are both 72 (add 20 and 502 together) so h+k=144

J and m are going to have the same measurement so we can set up and equation, we also know all angles must add up to 360

144+2x=360

2x=216

x=108

HMK=108