Question

The angle measurements in the diagram are represented by the following expressions.
∠A=6x+18 ∠B=x+93

Answer 1

Answer:

$since \: these \: 2 \: lines \: are \:parallel \: t o \: each \: other$

$so \: √a = √b$

Then,

$6x + 18 = x + 93$

$6x - x = 93 - 18$

$5x = 75$

$x = 15$

$then \: √b \: = x + 93 = 15 + 93 = 108 \: degrees$

√B = 108°

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

According to Alternate interior angles,

$\sf \angle A = \angle B$

Hence,

We have already value of $\sf \angle A \: \: and \: \: \angle B$ are( 6x + 18) and (x + 93).

Now,

Hence,

• $\sf \angle A = \angle B$

• $\sf 6 x + 18 = x + 93$

• $\sf 6x - x = 93 - 18$

• $\sf 5x = 75$

• $\sf x = \frac{75}{5}$

• $\sf \underline{ x = 15 }$

Now, for B

• $\sf \angle B = x + 93$

• $\sf \angle B = 15 + 93$

• $\sf \underline{ \boxed{\angle B = 108°}}$

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