Question

1. What is the m 2 in this parallelogram?

Answer 1

Answer:

C. 15

D. 4

Step-by-step explanation:

Hope this helps

Answer 2

Answer:

☂ $\underline{ \underline{ \large{ \tt{For \: Question \: Number \: 1}} }}:$

• $\large{ \tt{ \angle \: DAC = \angle ACB = 50 \degree }}$ { Since AD $\parallel$ BC & Being alternate angle }

♨ $\large{ \tt{ In \: \triangle \: ABC : }}$

$\large{ \tt{ \angle \: CAB+ \angle \: ABC + \angle \: ACB = 180 \degree}}$ { Sum of angles of a triangle }

⇾ $\large \tt \: \angle \: CAB + 115 \degree + 50 \degree = 180 \degree$

⇾ $\large{ \tt{ m \: \angle2 = 180 \degree - 165 \degree}}$

⇾ $\large{ \boxed{ \tt{ m \angle \: 2 = 15 \degree}}}$

☂ $\underline{ \underline{ \large{ \tt{For \: Question \:Number \: 2}}}}:$

♨ $\large{ \tt{3x = 12}}$ { Since the diagonals of parallelogram bisect each other }

⟶ $\large{ \tt{x = \frac{12}{3}}}$

⟶ $\large{ \boxed{ \tt{x = 4}}}$

Q. Can we set up an equation 2x = 8 in question number 2 ?

Ans : Yep! Since the diagonals of parallelogram bisect each other , you can :) When we solve 2x = 8 , we obviously get x = 4.

Hope I helped! ♡

Have a wonderful day / night ! ツ

$\underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}$ !

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