Question

Use the diagram below to answer questions 4-5.
4. What is the value of x?
A. 24
B. 9
C. 21
D. 14

5. What is the measure of <1?
A. 45 degrees
B. 60 degrees
C. 120 degrees
D. 125 degrees

Answer 1

Answer:

x = 21,

<1 = 120°

Step-by-step explanation:

4) From the figure,

(5x+15)+(3x-3)=180°

/* Sum of interior angles same side of the transversal */

=> 8x+12=180°

=> 8x = 180-12

=> 8x = 168

/* Divide both sides by 8, we get

=> x = 21

5) <1 = 5x+15

/* Corresponding angles */

= 5×21 + 15

= 105 + 15

= 120

Therefore,

x = 21,

<1 = 120°

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