Question

Three angles of a quadrilateral are equal.
The fourth angle is twice any one of these
angles. Find the measure of each angle.​

Answer 1

Answer:

72°, 72°, 72° and 144°

Step-by-step explanation:

Sum of angles of a quadrilateral = 360°

Let the angles be x, x, x and 2x

So  x + x + x + 2x = 360

5x = 360

x = 360/5 = 72

So the angles are 72°, 72°, 72° and 144°

Answer 2

maths answer susmita
hi
this is ankit

first of all
it is said that three angles are equal
therefore,
let,the three angles be 'x'
then,
fourth angle will be 2x ( written in Q )
and
we know that
sum of all interior angles of a quadrilateral is 360°

NOW,
A/q
x + x + x + 2x = 360°
=> 5x = 360°
=> x = 360° / 5
=> x = 72°


therefore
three angles are 72 °
and
fourth angle = 2x
= 2 × 72°
= 144°

check
72° + 72°+ 72°+ 144°= 360°
360° = 360°