Question

three angles of a quadrilateral are equal fourth angle is measure 150degrees.What is rhe measure of each angles


I want in steps

Answer 1

The sum of 3 angles
$360 - 150 = 210$
Let 1 angle is x
Then, the sum of 3 angles =3x
Now
$3x = 210 \\ x = 21 0 \div 3 \\ x = 70$
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Answer 2

QUESTION

Three angles of a quadrilateral are equal .Fourth angle's measure is 150°.What is the measure of each angle...


Answer

let one angle be x

Since Three sides are equal so the remaining two angles will be x and x(given)

The measure of Fourth angle is 150°( given)

Now... Forming equation as per the question we get the following equation

(x+x+x)° + 150° =360° ( Sum of all angles of a quadrilateral is 360°)

3x° + 150° = 360°

3x° =360° - 150°

3x° =210°

x° = (210/3)°

x° = 70°

As in the question three angles are equal and one angle is equal to x = 70° so others angles are 70°and 70°


Thank you

@Be Brainly