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

4. In the diagram, ABCD is a straight line. Calculate the values of x and y. ​-example-1
User Just
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2 Answers

4 votes
4 votes

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

User RChugunov
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3.4k points
4 votes
4 votes

Answer:

x is 108° and y is 144°

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

User Mike Hardy
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3.5k points