Question

If measure angle 1 equals 3x + 15 and measure angle 2 equals 6x + 3 find x

Answer 1

Answer on Question #60482 – Math – Geometry

Question

If measure angle 1 equals $3x + 15$ and measure angle 2 equals $6x + 3$ find $x$

Solution

Case 1. Angles 1, 2 are equal in measure.

Given measure of each angle is the same, we obtain the following equation:

$$\begin{array}{l} 3x + 15 = 6x + 3 \\ 12 = 3x \\ x = 4 \text{ (degrees)}. \end{array}$$

Case 2. Angles 1, 2 add up to 180 degrees.

Two supplementary angles have the sum of 180 degrees.

If angle 1 equals $(3x + 15)$ and angle 2 equals $(6x + 3)$, then we obtain the following equation:

$$\begin{array}{l} (3x + 15) + (6x + 3) = 180 \\ 9x + 18 = 180 \\ 9x = 162 \\ x = 18 \text{ (degrees)}. \end{array}$$

Answer: $4{}^{\circ}$ or $18{}^{\circ}$.

www.AssignmentExpert.com