Question

Find m angle ihd if m angle ihd equals 7x plus 4 m angle ihg equals 27x plus 9 and m angle dhg equals 125 degrees

Answer 1

∠IHD = 46°

Explanation:

You want the measure of ∠IHD = 7x+4, given that adjacent angle DHG = 125°, and their total ∠IHG is 27x+9.

Angle sum

The sum of the parts is equal to the whole:

∠IHD + ∠DHG = ∠IHG

(7x +4) +(125) = (27x +9)

120 = 20x . . . . . . . . . . . . subtract 7x+9

6 = x . . . . . . . . . . . . . . divide by 20

The angle of interest is ...

∠IHD = 7(6) +4 . . . . degrees

∠IHD = 46°

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