Question

The sum of two angle of a quadrilateral is 145 . the other two angles are in ratio 2;3. find the angles .. solution

Answer 1

Hey Friend ☺

Sum of two angles is 145.

Other two angles are in the ratio 2 : 3 .

Let common multiple be x

So the measure a of other two angles is 2x & 3x

We know the sum of measures of all angles of a quadrilateral is 360

So

145 + 2x + 3x = 360

》5x = 360 - 145

》5x = 215

》x = 215/5

》x = 43

Hope it helps you ..!!

✌

Answer 2

Hii friend,

Let ABCD be a Quadrilateral.

Where,

AB , AC , BC and CD are the sides of the Quadrilateral.

Angle ACD , Angle ABD , Angle BDC and Angle CAB are the four angles of the Quadrilateral.

The sum of two angle of the Quadrilateral is 145 [ GIVEN ]

Let,

Angle CAB + Angle ABD = 145

And,

Angle BDC : Angle ACD = 2:3

Let , Angle BDC = 2X and Angle ACD = 3X.

We know that the sum of four angles of Quadrilateral is 360°.

So,

Angle CAB + Angle ABD + Angle BDC + Angle ACD = 360°

145 + 2X + 3X = 360. [ CAB + ABD = 145 ]

145 + 5X = 360

5X = 360 - 145

5X = 215

X = 215/5

X = 43°

Therefore,

Angle BDC = 2X =2 × 43° = 86°

Angle ACD = 3X = 3 × 43° = 129°.

HOPE IT WILL HELP YOU... :-)