Question

it two angles of quadrilateral are 97⁰ and 67⁰ and out of the remaing angle on is 20⁰ smaller than the other . The remaining mesures of two angles are​

Answer 1

Answer:

Third angle = 108°

Fourth angle = 88°

Step-by-step explanation:

First angle = 97°

Second angel = 67°

Third angle = x°

Fourth angle = x-20°

The sum of all the angles of a quadrilateral is 360°[Angle sum property]

Therefore, 97°+67°+x°+(x-20)° = 360°

= 164+x+x-20 = 360

= 164-20+2x = 360

= 144+2x = 360

= 2x = 360-144

= 2x = 216

= x = 216/2

x = 108

Thus, third angle = x = 108°

Fourth angle = x-20 = 108-20 = 88°

Answer 2

Answer:

Let one angle be x

ATQ

Other angle = x-20

Sum of all angles of a quadrilateral = 360

67+ 97+ x+ (x-20)= 360

2x = 216

x=108

Hence one angle is 108 (x) and other is 88 (x-20)