Answers
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
Step-by-step explanation:
☯ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I \: O \: N}}}} : [/tex]
✰ [tex] \underline{ \underline{ \large{ \text{For \: Question \: Number \: 5}}}} : [/tex]
[tex] \large{ \tt{90 \degree + 4x \degree + 5x \degree = 180 \degree}}[/tex] [ Sum of angle in a triangle ]
⤑ [tex] \large{ \tt{90 \degree + 9x \degree = 180 \degree}}[/tex]
⤑ [tex] \large{ \tt{9x \degree = 180 \degree - 90 \degree}}[/tex]
⤑ [tex] \large{ \tt{9x \degree = 90 \degree}}[/tex]
⤑ [tex] \large{ \tt{ \frac{9x}{9} = \frac{90}{9} \degree}}[/tex]
⤑ [tex] \boxed{ \large{ \tt{x = 10 \degree}}}[/tex]
----------------------------------------------------------
✰ [tex] \underline{ \underline{ \text{For \: Question \: Number \: 6}}} : [/tex]
[tex] \large{ \tt{75 \degree = 3x \degree + 7 \degree + 2x \degree + 3 \degree}}[/tex] [ Exterior angle is equal to the sum of two non-adjacent interior angles ]
⟶ [tex] \large{ \tt{75 \degree = 5x \degree + 10 \degree}}[/tex]
⟶ [tex] \large{ \tt{5x \degree \: + 10 \degree = 75 \degree}}[/tex]
⟶ [tex] \large{ \tt{5x \degree = 75 \degree - 10 \degree}}[/tex]
⟶ [tex] \large{ \tt{5x \degree = 65 \degree}}[/tex]
⟶ [tex] \large{ \tt{ \frac{5x}{5} = \frac{65}{5} \degree}}[/tex]
⟶ [tex] \boxed{\large{ \tt{x = 13 \degree}}}[/tex]
Hope I helped ! ✧
Have a wonderful day / night ! ♪
Let me know if you have any questions regarding my answer!
[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕
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