Question

name aleha sol date 2/21/15 period 5 basic definitions and constructions math writing #1 what: use math vocabulary to explain the steps used to figure out the problem correctly and score a 3 or better in the peer - review given: ray ad is the bisector of ∠cab the measure of ∠cab is 78 and the measure of ∠dac = 4x + 3 what is the value of x?

Explanation:

Step1: Recall angle - bisector property

Since ray AD is the bisector of ∠CAB, then ∠DAC=\frac{1}{2}∠CAB.

Step2: Substitute given values

We know that ∠CAB = 78 and ∠DAC=4x + 3. So, 4x+3=\frac{78}{2}.

Step3: Simplify the right - hand side

\frac{78}{2}=39, so the equation becomes 4x + 3=39.

Step4: Solve for x

Subtract 3 from both sides: 4x=39 - 3, 4x=36. Then divide both sides by 4: x=\frac{36}{4}=9.

Answer:

9