Question

4. If three angles of a quadrilateral are 105° ,93° and 85°, what is the measure of the fourth angle​

Answer 1

Step-by-step explanation:

Let the measure of the fourth angle be x°.

We know that the sum of the angles of a quadrilateral is 360°.

Therefore, 54 + 80 + 116 + x = 360

⇒ 250 + x = 360

⇒ x = (360 - 250) = 110.

Hence, the measure of the fourth angle is 110°.

Answer 2

Answer:

105+93+85+x=360

283+x=360

x=360-283

x=77