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3 years ago

Someone please help me with this! please write out the steps as well, thank you!

Mathematics

1 answer:

Rufina [12.5K]3 years ago

3 0

Answer:

60°

140°

Step-by-step explanation:

From the given figures,

a. we use the concept of alternate angles.

Two parallel lines cut by a transversal will have equal alternate angles;

So;

6x + 12 = 7x + 4

collect like terms and solve for x;

6x - 7x = 4 - 12

-x = -8

x = 8

Now, 6x + 12 = 6(8) + 12

= 48 + 12

= 60°

b. Here we use alternate angles and angles on a line;

4x is an alternate angle to that angle to the left of 13x + 10

And sum of angles on a line = 180

4x + 13x + 10 = 180

17x = 170

x = 10

Now, 13x + 10 = 13(10) + 10 = 140°

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