Question

Geometry. Please help

Answer 1

As per the given info, both the triangles ∆MAS and ∆NER are congruent to one another ~

so, ∠MAC = ∠NER ; (by c.p.c.t)

Lets just equate them ~

`\qquad \rm\dashrightarrow \:5x + 7 \degree= 112 \degree`

`\qquad \rm\dashrightarrow \:5x = 112 \degree - 7 \degree`

`\qquad \rm\dashrightarrow \:5x = 105 \degree`

`\qquad \rm\dashrightarrow \:x = 105 \degree / 5`

`\qquad \rm\dashrightarrow \:x = 21 \degree`

Hence, the value of x is 21°