Question

solve for x and then find the measure of B

Answer 1

Answer:

x=19

B=114

Step-by-step explanation:

Since A and B are interior angles on same side, they are supplementary,

$A+B=\pi\\6x-48 +4x +38 = 180\\10x = 190\\x=19$

$B= 4(19) +38 = 76 + 38 = 114$  

Answer 2

$\huge\mathfrak\orange {\underline{Answer}}$

Given:

$∠A: 6x-48°$

$∠B: 4x+38°$

Solution:

${As\: Lines\: A\: and\: B\: are\: parallel,}$

${Sum\: of\: Co- interior\: angles = 180°}$

$∠A+ ∠B =180°$

$\text\pink{Substituting\: the\: values\: of\: Angles}$

$6x-48+4x+38=180$

$10x-10=180$

$x-1=18$

$x=18+1$

$x=19°$

Angles:

$∠A= 6×19-48 => 66°$

$∠B= 4×19+38 => 114°$

Hope it helps úh

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