Two angles of a quadrilateral are 60° and 70°, and the other two angles are in the ratio
8:15, then find the remaining two angles.
Answers
Answered by
15
Step-by-step explanation:
Let 1 angle be 8x
and other be 15x
60 +70+8x+15x=360
130+23x=360
23x=360-130
23x=230
x=230/23
x=10
8x=8×10=80
15x=15×10=150
Answered by
12
SOLUTION:-
Given:
Two angles of a quadrilateral are 60° & 70°.
&
Other two angles are in the ratio 8:15.
Let the ratio number be x°.
We know that, Sum of all sides of quadrilateral are 360°
Therefore,
=) 8x +15x +60° +70° =360°
=) 23x + 130° = 360°
=) 23x = 360° -130°
=) 23x = 230°
=) x= 230°/23
=) x= 10°
Thus,
Other two angles are 8x & 15x.
8x = 8× 10° = 80°
15x = 15×10° = 150°
Hope it helps ☺️
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