Question

PLEASE HELP! I can’t figure this out.

Find M.

Answer 1

$\gray \bigstar \boxed{\angle 1 + \angle 2 + \angle 3= 180°}$

Reason :-

Sum of angles of triangle is equal to 180°

Formula :-

• sum = (no. of angles - 2) × 180°
• Sum = (3 - 2) × 180°
• Sum = 1 × 180°
• Sum = 180°

So:-

$\sf \dashrightarrow\angle 1 + \angle 2 + \angle 3= 180 \degree$

$\sf \dashrightarrow m + 3m +(m - 35) = 180 \degree$

$\sf \dashrightarrow m + 3m +m - 35= 180 \degree$

$\sf \dashrightarrow 4m +m - 35= 180 \degree$

$\sf \dashrightarrow 5m - 35= 180 \degree$

$\sf \dashrightarrow 5m= 180 \degree + 35 \degree$

$\sf \dashrightarrow 5m=215\degree$

$\sf \dashrightarrow m= \dfrac{215}{5} \degree$

$\sf \dashrightarrow m= \cancel \dfrac{215}{5} \degree$

$\bf \dashrightarrow m=43 \degree$

Verification :-

$\sf \dashrightarrow m + 3m +(m - 35) = 180 \degree$

put value of m

$\sf \dashrightarrow 43 + 3(43) +(43 - 35) = 180 \degree$

$\sf \dashrightarrow 43 + 3(43) +(8) = 180 \degree$

$\sf \dashrightarrow 43 + 3(43) +8= 180 \degree$

$\sf \dashrightarrow 43 +129+8= 180 \degree$

$\sf \dashrightarrow 43 +137= 180 \degree$

$\bf \dashrightarrow 180 \degree= 180 \degree$

LHS = RHS

Hence verified!