Question

THIS IS WORTH 40 POINTS

Answer 1

x = 60, y = 110

Explanation:

the interior angles of a triangle will always add up to 180.

take the angles we already have and add them, once you get your answer you have to subtract that by 180 to find the missing angle.

70 + 50 = 120

180 - 120 = 60

———————-

the line at the bottom is called a straight angle, and it’s measure is 180

the exterior angle is equal to the sum of the two opposite interior angles (50 and 60)

y = a + b

y = 50 + 60

110 = 50 + 60

hope this helped!

Answer 2

`x=60^o`

`y=50^o`

Explanation:

ΔACD

`50+70+x=180`

`120+x=180`

`x=180-120`

`x=60`

ΔABC

`60+50+ACB=180`

110+ ∠ACB=180

∠ACB=180-110

= 70°

Now...

x+y+∠ACB=180°

`60+y+70=180`

`y+130=180`

`y=180-130`

`=50^o`

---------------------------

hope it helps...

have a great day!!