Question

a quadrilateral has 2 angles that measure 100 and 60 degrees the other angles have a ratio of 3:17 . what are the measures of those angles?

Answer 1

30° , 170°

Explanation:

Let the remaining two angles be 3x & 17x. As it is a quadrilateral , the sum of all the angles of quadrilateral is 360°. So,

`3x + 17x + 60 + 100 = 360`

`= > 20x + 160 = 360`

`= > 20x = 360 - 160 = 200`

`= > x = (200)/(20) = 10`

Putting the value of x , remaining angles are

(3×10 = 30°) & (17×10 = 170°)

Answer 2

30° and 170°

Explanation:

the missing angles 3:17

3x+17x+60+100=360°

20x+160=360°

20x=360-160

20x=200°

divide both sides by 20

X=10

substitute X=10 in 3x and 17x

3(10)=30°

17(10)=170°