Question

1. if (mangle mkl = 83^{circ}), (mangle jkl = 127^{circ}), and (mangle jkm=(9x - 10)^{circ}), find the value of (x). 3. if (mangle efh=(5x + 1)^{circ}), (mangle hfg = 62^{circ}), and (mangle efg=(18x + 11)^{circ}), find each measure.

Explanation:

Answer:

(11) \(m\angle JKL=m\angle JKM + m\angle MKL\), so \(127=(9x - 10)+83\)
(12) \(x = 6\)
(13) \(m\angle EFG=m\angle EFH + m\angle HFG\), so \(18x + 11=(5x + 1)+62\)
(14) \(x = 4\)
(15) \(m\angle EFH=(5x + 1)^{\circ}=(5\times4 + 1)^{\circ}=21^{\circ}\)
(16) \(m\angle EFG=(18x + 11)^{\circ}=(18\times4+11)^{\circ}=83^{\circ}\)