Find the measure of the angle indicated in bold.

5) 106°

6)

7) 46°

8) 102°

Step-by-step explanation:

Find the measure of the angle indicated in bold.

We are to find x

5) This follows the rule of Alternate Interior angles

= 12x + 10 = 13x + 2

Collect like terms

= 10 - 2 = 13x - 12x

= 8 = x

x = 8

The angle indicated in bold = (13x + 2)°

= 13 × 8 + 2

= 104 + 2

= 106°

6) This follows the rules of consecutive interior angles

x - 70 + 130 + x = 180

2x + 60 = 180

2x = 180 - 60

2x = 120

x = 120/2

x = 60

7)This follows the rule of Alternate Interior angles

22x + 2 = 21x + 6

Collect like terms

22x - 21x = 6 - 2

x = 4

The angle in bold is (22x + 2)°

Hence,

(22 × 2 + 2)°

44 + 2 = 46°

The measure of the angle is 46°

8) This follows the rule of corresponding angles

13x + 11 = 14x + 4

Collect like terms

11 - 4 = 14x - 13x

7 = x

x = 7

The angle in bold is (14x + 4) °

(14 × 7 + 4)°

=( 98 + 4)°

= 102°

table 3 represents a direct variation function. : )