Question

5.solve for x 6. solve for x​

Answer 1

Step-by-step explanation:

☯ $\underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I \: O \: N}}}} :$

✰ $\underline{ \underline{ \large{ \text{For \: Question \: Number \: 5}}}} :$

$\large{ \tt{90 \degree + 4x \degree + 5x \degree = 180 \degree}}$ [ Sum of angle in a triangle ]

⤑ $\large{ \tt{90 \degree + 9x \degree = 180 \degree}}$

⤑ $\large{ \tt{9x \degree = 180 \degree - 90 \degree}}$

⤑ $\large{ \tt{9x \degree = 90 \degree}}$

⤑ $\large{ \tt{ \frac{9x}{9} = \frac{90}{9} \degree}}$

⤑ $\boxed{ \large{ \tt{x = 10 \degree}}}$

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✰ $\underline{ \underline{ \text{For \: Question \: Number \: 6}}} :$

$\large{ \tt{75 \degree = 3x \degree + 7 \degree + 2x \degree + 3 \degree}}$ [ Exterior angle is equal to the sum of two non-adjacent interior angles ]

⟶ $\large{ \tt{75 \degree = 5x \degree + 10 \degree}}$

⟶ $\large{ \tt{5x \degree \: + 10 \degree = 75 \degree}}$

⟶ $\large{ \tt{5x \degree = 75 \degree - 10 \degree}}$

⟶ $\large{ \tt{5x \degree = 65 \degree}}$

⟶ $\large{ \tt{ \frac{5x}{5} = \frac{65}{5} \degree}}$

⟶ $\boxed{\large{ \tt{x = 13 \degree}}}$

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Answer 2

Answer:

x=10 , x=13

Steps:

5.

4x+5x=180-90

9x=90

x=90/9

x=10

6.

(3x+7)+(2x+3)=180-105

5x+10=75

5x=65

x=65/5

x=13