Question

the sum of two equal angles of a quadrilateral is 155° and the two other angles are in the ratio find the measure of all four angles

Answer 1

Answer:

60.294° and 144.705°

Step-by-step explanation:

Quadrilateral is polygon with four sides,four vertices or four corners.

In this question we have been given a quadrilateral.Quadrilateral has sum of angles equal to 360°.

Let the four angle be A , B, C, D.

Given that:

A+B+C+D=360°

and let the sum of two angle be equal to C+D=155°

now,

Let x be the angle,so the ratio will be: 5x : 12x⇒  (a)

5x+12x+155=360 degree

Now solve for the value of X:

x=205°/17°

x=12.058°⇒put this value in (a)

The remaining values are

A=60.294°

B=144.705°