Question

In a quadrilatereal three exterior angles
measure 35 ,80 and 170
. Find the
measures of its four interior angel​

Answer 1

Answer:

the fourth exterior angle is 75

Step-by-step explanation:

let the 4th angle be x

x+35+80+170=360

x+285=360

x=360-285

x=75

Answer 2

Answer:

145⁰,100⁰,10⁰,105⁰

Step-by-step explanation:

35+x =180 (linear pair)

x=180-35

= 145 degrees (one interior angle)

80+y=100 (linear pair)

y=100 degrees(second interior angle)

170+z=180 (linear pair)

z=10 degrees (third interior angle)

NOTE: SUM OF ALL ANGLES OF A QUADRILATERAL IS 360 DEGREES

based on the above statement we can write that:

145+100+10+ K=360 degrees

255+K=360 degrees

K=360-255

K=105 degrees

HENCE WE FOUND THAT THE INTERIOR ANGLES OF THIS QUADRILATERAL ARE 145⁰,100⁰,10⁰ AND 105⁰

HOPE THIS HELPS YOU.....