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anyanavicka [17]
3 years ago
10

4. In the diagram, ABCD is a straight line. Calculate the values of x and y. ​

Mathematics
2 answers:
kykrilka [37]3 years ago
8 0

Answer:

<u>x</u><u> </u><u>is</u><u> </u><u>1</u><u>0</u><u>8</u><u>°</u><u> </u>and <u>y</u><u> </u><u>is</u><u> </u><u>1</u><u>4</u><u>4</u><u>°</u>

Step-by-step explanation:

for x:

x + 36 \degree + 36 \degree = 180 \degree \\  \{isoceles \: triangle \: angle \: sum \} \\ x + 72 \degree = 180 \degree \\  x = 180 \degree - 72 \degree \\ x = 108 \degree

for y:

y + 36 \degree = 180 \degree \\  \{straight \: line \: angles \} \\ y = 180\degree - 36\degree \\ y = 144\degree

Artemon [7]3 years ago
3 0

Answer:

X+36+36=180

X+72=180

X=180-72

X=108

36+BC^D=180

BC^D=180-36

BC^D=144

BC^D corresponds with y

Therefore y=144

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