1 Answer

Tomaroo · Answer 1 · 2024-06-20T18:14:21+0000

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°

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