Question

find the measure of x and y in the following figures
step by step...​

Answer 1

Answer:

$x$ = 50°, $y$ = 70°

Step-by-step explanation:

SUM OF THE ANGLES IN TRIANGLE = 180°

SUM OF ANGLES IN A STRAIGHT LINE= 180°

So, angle $y$ +angle C =180°

$y$+110°=180°

transpose 110° from L.H.S to R.H.S...

$y$ = 180°-110°

$y$ = 70°

so, angles $x$+a+$y$=180°

$x$+60°+70°=180°

$x$+130°=180°

transpose 130° from L.H.S to R.H.S...

$x$ = 180°- 130°

$x$ = 50°