Question

PARTAZDEG and ZGEN are complementary angles, where mZDEG = 12x - 7 and mZGEN = 9x + 13. Find the value of x and the measure of both angles.I=

Answer 1

We have two angles that are complementary and they are given in the algebraic form.

Complementry angles are ones, whose sum is always 90 degrees.

`(12x-7)+(9x+13)\text{ = 90}`
`21x+6=90`
`x\text{ = }((90-6))/(21)=4`

Therefore ZDEG = 12(4) -7 = 41 and ZGEN = 9 (4) +13 = 49

Sum of these two angles is indeed 90 degrees, so we have our answer.