Question

the angels of a quardelateral if its angels are (x-20) and (2x+20) and the remaining angels are 60 degree and 90 degree find the measure of two unknown angels
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Answer 1

Answer

First angle: 50°

Second angle: 160°

Step to step explaination:

Sum of all angles of quadrilateral are 360°

{x - 20} + {2x + 20} + 60 + 90 = 360°

x + 2x - 20° + 20° + 150° = 360°

3x = 360° - 150°

x = 210° / 3

x = 70°

MEASURE OF REMAINING UNKNOWN ANGLES

{x - 20} = 70 - 20 = 50°

{2x + 20} = 2*70 + 20 = 160°

VERIFICATION:

50° + 160° + 90° + 60° = 360°

210° + 150° = 360°

360° = 360°

L.H.S = R.H.S

HENCE PROVED..

HOPE IT HELPS YOU..

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