Question

How do I solve for X? 20 points.

Answer 1

Step-by-step explanation:

$\underline{ \underline{ \text{Given}}} :$

• $\angle \: ABC = 65 \degree$

$\underline{ \underline{ \text{To \: Find}}} :$

• Value of x

$\underline{ \underline { \text{Solution}}} :$

$\angle \: ACB = \angle \: ABC = 65 \degree$ [ Base angles of isosceles triangle are equal ]

$x \degree + 65 \degree + 65 \degree = 180 \degree$ [ Sum of angle of a triangle ]

⟼ $x \degree + 130 \degree = 180 \degree$

⟼ $x \degree = 180 \degree - 130 \degree$

⟼ $x = 50 \degree$

$\red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{x = 50 \degree}}}}}}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Answer 2

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°