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Perhatikan gambar berikut !
Pada gambar di atas, diketahui
/_B8=(4x+46)^(@) dan
/_A1=(5x+25)^(@). Maka Besar sudut A2 adalah ...

$4$ . Perhatikan gambar berikut ! $\newline$ Pada gambar di atas, diketahui $\angle B 8=(4 x+46)^{\circ}$ dan $\angle A 1=(5 x+25)^{\circ}$ . Maka Besar sudut A $2$ adalah ...

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Evaluate rational exponents

Full solution

Q.

4

. Perhatikan gambar berikut !

\newline

Pada gambar di atas, diketahui

\angle B 8=(4 x+46)^{\circ}

dan

\angle A 1=(5 x+25)^{\circ}

. Maka Besar sudut A

2

adalah ...

Identify Relationship: Identify the relationship between angles B $8$ and A $1$ ; they are vertical angles and thus equal. $\newline$ So, $(4x + 46)^\circ = (5x + 25)^\circ$ .
Set Up Equation: Set up the equation to solve for $x$ : $4x + 46 = 5x + 25$ .
Subtract to Solve: Subtract $4x$ from both sides: $46 = x + 25$ .
Find Value of x: Subtract $25$ from both sides to solve for $x$ : $x = 21$ .
Calculate Angle A $1$ : Plug $x$ back into the expression for angle $A1$ to find the measure of angle $A2$ , since $A1$ and $A2$ are supplementary angles and add up to $180^\circ$ . So, $A1 = (5x + 25)^\circ = (5\times21 + 25)^\circ = 130^\circ$ .
Calculate Angle A $2$ : Calculate the measure of angle A $2$ : $A2 = 180° - A1 = 180° - 130° = 50°$ .

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