Answer:
[tex] \rm x=\frac{45}{2} [/tex]
[tex] \rm \angle B=67.5 \degree [/tex]
Step-by-step explanation:
[tex] \rm x + 3x + 90 = 180 \degree [/tex]
[tex] \rm 4x + 90 = 180 \degree [/tex]
[tex] \rm 4x = 180 -90 [/tex]
[tex] \rm 4x=90 [/tex]
[tex] \rm x=\frac{90}{4} [/tex]
[tex] \rm x=\frac{45}{2} [/tex]
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value of [tex] \rm x[/tex]?
[tex] \bold{x=\frac{45}{2}} [/tex]
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what is the measure of angle B?
[tex] \rm \angle B =\frac{45}{2} \times 3 [/tex]
[tex] \rm \angle B=\frac{135}{2} [/tex]
[tex] \bold{\angle B=67.5 \degree} [/tex]