Question

10
(4x - 13)°
(3x + 7)°
x = ___
(4x - 13)° = ___°
(3x + 7)° = ___°

Explanation:

Step1: Set up equation

Since the two angles are corresponding angles (assuming the lines are parallel), they are equal. So we set up the equation $4x - 13=3x + 7$.

Step2: Solve for x

Subtract $3x$ from both sides: $4x-3x-13=3x - 3x+7$, which simplifies to $x-13 = 7$. Then add 13 to both sides: $x=7 + 13$, so $x = 20$.

Step3: Find the value of $(4x - 13)^{\circ}$

Substitute $x = 20$ into $4x-13$: $4\times20-13=80 - 13=67$.

Step4: Find the value of $(3x + 7)^{\circ}$

Substitute $x = 20$ into $3x + 7$: $3\times20+7=60 + 7=67$.

Answer:

$x = 20$
$(4x - 13)^{\circ}=67^{\circ}$
$(3x + 7)^{\circ}=67^{\circ}$