Question

Given that A, O & B lie on a straight line segment, evaluate acute

Answer 1

If the value of x is 10. Then the measure of angle ∠COB will be 56°.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.

Given that A, O, and B lie on a straight line segment.

Then they make a linear angle that is 180 degrees.

Then we have

     ∠AOC + ∠COD + ∠DOB = 180

(3x + 94) + (x + 30) + (2x - 4) = 180

                               6x + 120 = 180

                                         6x = 60

                                           x = 10

Then the measure of angle ∠COB will be

∠COB = ∠COD + ∠DOB

∠COB = (x + 30) + (2x - 4)

∠COB = (10 + 30) + (20 - 4)

∠COB = 40 + 16

∠COB = 56°

More about the angled link is given below.

brainly.com/question/15767203

#SPJ1