two angles of a quadrilateral are 80 degree and 135 degree . the other 2 angles are equal . find the other 2 angles
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Answered by
89
the sum of all angles of a quadrilateral is 360 degree
let the other angle bex
so , 80 +135 + x+x=360
215+2x=360
2x=360-215
2x=145
x=72.5
other two angles is 72.5
let the other angle bex
so , 80 +135 + x+x=360
215+2x=360
2x=360-215
2x=145
x=72.5
other two angles is 72.5
Answered by
29
Dear Student,
◆ Answer -
72.5°
● Explanation -
Let x be measure of other two angles of quadrilateral.
As we know, sum of 4 angles of quadrilateral is 360°.
80° + 135° + x + x = 360°
215° + 2x = 360°
2x = 360° - 215°
2x = 145°
x = 145/2
x = 72.5°
Hence, measure of other two angles will be same. i.e. 72.5°.
Thanks dear. Hope this helps you...
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