Find the measure of each angle indicated
find the measure of the angle indicated in bold

23) 57° 24) 85° 25) 60 and 120° 26) 70° and 110°

Step-by-step explanation:

23) The unknown angle is 57°(a corresponding angle.

The given angle is corresponding to ye unknown angle

24. The unknown angle is 85°. The given angle is equal to the unknown angle becuaee both angle are alternate i.e they lie in alternate sides of each other

25) sum of angles on a straight line is 180°

Since the angles 7x+11 and 17x+1 both lies on the same straight line, the sum of the Two angles will be 180°.

Mathematically,

7x+11 + 17x+1 = 180°

24x + 12 = 180°

24x = 180-12

24x = 168°

x = 168/24

x = 7°

The angle 7x+11 = 7(7)+11

= 49+11

= 60°

The other angle will be 180-60 = 120°

26) First, the x+77 is equal to the angle adjacent to x+117. This makes both angle lies adjacent to each other and on the same straight line.

Note that sum of angles on a straight line is 180°

Since the angles x+77 and x+117 both now lies on the same straight line, the sum of the Two angles will be 180°.

x+77+x+117 = 180

2x + 194 = 180

2x = 180-194

2x = -14

x = -7°

Angle x+77 will give -7+77 = 70° and angles x+117 will give -7+117 = 110°

The angles are 70° and 110°

step-by-step explanation: