Question

Please help with the answer

Answer 1

Sum of one-sided angles is 180°

`(16x+2)^\circ+(45x-5)^\circ=180^\circ\\(61x)^\circ=183^\circ\\ \\ x=3`

Sum of two adjacent supplementary angles = 180 .

`(26y)^\circ+(16x+2)^\circ=180^\circ\\ (26y)^\circ+(16\cdot3+2)^\circ=180^\circ\\ (26y)^\circ+50^\circ=180^\circ\\ (26y)^\circ=130^\circ\\ y=130^\circ:26^\circ\\y=5`

Answer: x=3 and y = 5.