Question

The angles of a quadrilateral are 45 degrees, 78 degrees, 120 degrees. Find the fourth angle. pls answer as soon as possible. first one 2 answer gets brainliest.​

Answer 1

Answer:

ANSWER

It is given that three angles are equal and measure of fourth angle is 120o.

Let the measure of each of the equal angles be x

We know that, sum of four measure of angles of quadrilateral is 360o.

⇒  x+x+x+120o=360o

⇒  3x+120o=360o

⇒  3x=240o

⇒  x=80o

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Answer 2

Answer:

The fourth angle of a quadrilateral is 117°.

Step-by-step explanation:

Given:-

The first angle of a quadrilateral, ∠1 = 45°

The second angle of a quadrilateral, ∠2 = 78°

The third angle of a quadrilateral, ∠3 = 120°

To find:-

The fourth angle of a quadrilateral, i.e., ∠4 =?

Since the sum of all the angles in a quadrilateral is 360°.

⇒ ∠1 + ∠2 + ∠3 + ∠4 = 360°

⇒ 45° + 78° + 120° + ∠4 = 360°

                     243° + ∠4 = 360°

                                ∠4 = 360° - 243°

                                ∠4 = 117°

Final answer: The fourth angle of a quadrilateral is 117°.

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