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Zepler [3.9K]
3 years ago
12

5.solve for x 6. solve for x​

Mathematics
2 answers:
olga_2 [115]3 years ago
7 0

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}}}

----------------------------------------------------------

✰ \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}}}

Hope I helped ! ✧

Have a wonderful day / night ! ♪

Let me know if you have any questions regarding my answer!

\underline{ \underline{ \mathfrak{Carry \: On \: Learning}}} !! ♕

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Kamila [148]3 years ago
3 0

<u>Answer:</u>

x=10 , x=13

<u>Steps:</u>

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

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