the sum of the two angles of a quadrilateral is 145 the other two angles are in the ratio 2:3 find the angles
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Answered by
18
Answer:
The other two angles are 86° and 129°.
Step-by-step explanation:
As the other two angles are in the ratio 2:3, they are 2x and 3x, for some value x.
The sum of all the angles in a quadrilateral is 360°, so
2x + 3x + 145° = 360°
=> 5x = 360° - 145° = 215°
=> x = 43°
So the two angles are
2x = 86° and 3x = 129°
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Answered by
12
sum of angles in a quadrilateral =360°
the ratio parts =2:3
=2x+3x
=5x
the sum of two angles =145
5x+145°=360°
5x=360°-145°
5x=215
x=215/5
x=43
first angle =2x
=2(43°)
=86°
second angle =3x
=3(43°)
=129°
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