Question

can you answer each question and type the correct code? please remember to type in all caps with no spaces.
puzzle #1
1 if m∠a = 3x° and m∠d = 4x + 6°, what is the value of x?
2 find m∠a
3 if m∠b = 18y° and m∠c = 42y°, what is the value of y?
4 find m∠c
answer choices
a: 36 b: 24 c: 18
d: 132 e: 12 f: 3
g: 4 h: 14 i: 126
type the 4 - letter code into the answer box. all caps, no spaces.
your answer
this is a required question

Explanation:

Step1: Set ∠A + ∠D = 90°

$\angle A$ and $\angle D$ form a right angle, so $3x + 4x + 6 = 90$

Step2: Solve for x

$7x + 6 = 90 \implies 7x = 84 \implies x = 12$

Step3: Calculate $m\angle A$

Substitute $x=12$: $m\angle A = 3(12) = 36$

Step4: Set ∠B + ∠C = 180°

$\angle B$ and $\angle C$ form a straight angle, so $18y + 42y = 180$

Step5: Solve for y

$60y = 180 \implies y = 3$

Step6: Calculate $m\angle C$

Substitute $y=3$: $m\angle C = 42(3) = 126$

Step7: Match values to letters

x=12 → E; $m\angle A$=36 → A; y=3 → F; $m\angle C$=126 → I

Answer:

EAFI