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Sagot :
That triangle is isosceles, so the bottom two angles will always be equal. With that said, the equation will be 2(65), and that equals 130. After that, subtract 180-130, and that gives you x! In total, your calculations should look like this:
2(65)
180-130
x=50°
2(65)
180-130
x=50°
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
- [tex] \angle \: ABC = 65 \degree[/tex]
[tex] \underline{ \underline{ \text{To \: Find}}} : [/tex]
- Value of x
[tex] \underline{ \underline { \text{Solution}}} : [/tex]
[tex] \angle \: ACB = \angle \: ABC = 65 \degree[/tex] [ Base angles of isosceles triangle are equal ]
[tex] x \degree + 65 \degree + 65 \degree = 180 \degree[/tex] [ Sum of angle of a triangle ]
⟼ [tex] x \degree + 130 \degree = 180 \degree[/tex]
⟼ [tex] x \degree = 180 \degree - 130 \degree[/tex]
⟼ [tex] x = 50 \degree[/tex]
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{x = 50 \degree}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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