Question

three angle of a quadrilateral are equal . the fourth angle is twice one of the angle find the measure of each angle

Answer 1

Answer:

Step-by-step explanation:

Let 3 equal angles be X and 4the angle be 2X as given

So,

X+X+X+2X=360. (Sum of all angles of a quadrilateral is 360)

5X=360

X=360/5

X=72

2X=144

Therefore,3 equal angles measure is 72 degrees and 4the angle is 144 degrees.

Hope this answer helps you.

Answer 2

Heya,

we know

Sum of all angles of quadrilateral is 360°.

Let three equal angles be $x$
thus, fourth angle will be $2x$

now, according to angle sum property of a quadrilateral

$x + x + x + 2x = 360 \\ = > 5x = 360 \\ = > x = \frac{360}{5 } \\ = > x = 72$

Thus, three angles of quadrilateral measures = 72°

and,fourth angle would measure = 2 × 72° = 144°.

Regards

KSHITIJ