Question

puzzle #2
1 if m∠c = 7x° and m∠d = 5x + 18°, what is the value of x?
2 find m∠c
3 if m∠a = 4y° and m∠b = 8y - 6°, what is the value of y?
find m∠b
answer choices
a: 47 b: 58 c: q
d: 51 e: 12 f: 16
g: 8 h: 63 i: 65
type the 4 - letter code into the answer box. all caps, no spaces.
can you answer each question and type the correct code? please remember to type in all caps with no spaces.
ch
keep trying! you can do it!

Explanation:

Step1: Solve for x in the first - part

Since angles C and D are supplementary (sum to 180°), we set up the equation $7x+(5x + 18)=180$.
Combining like - terms: $7x+5x+18 = 180$, which simplifies to $12x+18 = 180$.
Subtract 18 from both sides: $12x=180 - 18=162$.
Divide both sides by 12: $x=\frac{162}{12}=13.5$.

Step2: Find the measure of angle C

Substitute $x = 13.5$ into the expression for angle C. $m\angle C=7x$, so $m\angle C=7\times13.5 = 94.5$ (not relevant for the code).

Step3: Solve for y in the third - part

Since angles A and B are complementary (sum to 90°), we set up the equation $4y+(8y - 6)=90$.
Combining like - terms: $4y+8y-6 = 90$, which simplifies to $12y-6 = 90$.
Add 6 to both sides: $12y=90 + 6=96$.
Divide both sides by 12: $y = 8$.

Step4: Find the measure of angle B

Substitute $y = 8$ into the expression for angle B. $m\angle B=8y-6=8\times8 - 6=64 - 6=58$.

Answer:

GBAE