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°

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So:-

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

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

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

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

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

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

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

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`\sf \dashrightarrow m= (215)/(5) \degree`

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`\sf \dashrightarrow m= \cancel (215)/(5) \degree`

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`\bf \dashrightarrow m=43 \degree`

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Verification :-

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

put value of m

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

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

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

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

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

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`\bf \dashrightarrow 180 \degree= 180 \degree`

LHS = RHS

Hence verified!