Question

In the fallowing diagram, it is shown that mEHG is a right angle, mEHF = x+ 1 and mGHF = 5x+5. Find the value of x, the numerical values of mEHF and mGHF, and mark them on the diagram

Answer 1

x = 14

EHF = 15 degree GHF = 75 degree

Explanation:

(x+1) + (5x+5) = 90

(x+5x)+ (1+5) = 90

6x + 6 = 90

6x = 90-6

6x = 84

x = 84/6

x = 14

EHF + GHF = 90 degree

EHF = x+1

= 14 + 1 = 15

= 15 degree

GHF = 5x+5

= 14 x 5 (+5) = 70 + 5

= 75 degree

EHF = 15 degree GHF = 75 degree