Question

Two supplementary angles differ by 34${}^{\circ }$. Find the angles.

Answer 1

Let one angle be x${}^{\circ }$. Then, the other angle is x+34${}^{\circ }$.

x${}^{\circ }$ + x+34${}^{\circ }$ = 180${}^{\circ }$

2x${}^{\circ }$ + 34${}^{\circ }$ = 180${}^{\circ }$

2x${}^{\circ }$ = 180${}^{\circ }$ – 34${}^{\circ }$

2x${}^{\circ }$ = 146${}^{\circ }$

x = 73${}^{\circ }$

Thus, two angles are of measure 73${}^{\circ }$ and 73${}^{\circ }$ + 34${}^{\circ }$ = 107${}^{\circ }$