Question

Two angles of aquadrilateral are each 90 and the remaining two angles are such that one is three times than other,find these two angles (with full statement)

Answer 1

Hey!

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One angle = 90°
Second angle = 90°
Let third angle be = x°
Let fourth angle be = 3x [A.T.Q]

We know that sum of all angles of a quadrilateral is 360°, so,

90+90+x+3x= 360
180+4x= 360
4x= 360-180
4x= 180
x= 180/4
x= 45

Third angle = 45°
Fourth angle = 3×45= 135°

CHECK-:

90+90+45+135= 360 (Sum of angles of a quadrilateral).

THUS,

One angle = 90°
Second angle = 90°
Let third angle be = 45°
Let fourth angle be = 135°
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Hope it helps...!!!

Answer 2

Let the other two angles be x and 3x respectively
Now in quadrilateral
90+90+x+3x=360
4x=180
x=45
And 3x=135

The other two angles are 45 and 135