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GuDViN [60]
3 years ago
14

In the figure, AOB and COD are straight lines. Find x and y. E A 20 65 B

Mathematics
1 answer:
ASHA 777 [7]3 years ago
6 0

The image of the straight lines is missing so i have attached it.

Answer:

x = 20°

y = 120°

Step-by-step explanation:

From the image attached, we can say that;

3x + (7x - 20) = 180

This is because sum of angles on a straight line is 180°

Thus;

3x + 7x - 20 = 180

10x = 180 + 20

10x = 200

x = 200/10

x = 20°

Also,3x + y = 180

Because sum of angles on a straight line is 180°. Thus;

3(20) + y = 180

60 + y = 180

y = 180 - 60

y = 120°

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\begin{array}{lrcll}(3) & 4y - 5 - y & = & 16 &\text{Substituted (2) into (1)}\\& 3y - 5 & = & 16 &\text{Simplified}\\ & 3y & = & 21 &\text{Added 5 to each side}\\(4) &y & = & \mathbf{7} &\text{Divided each side by 3} \\& x - 7 & = & 16 & \text{Substituted (4) into (1)}\\& x& = & \mathbf{23} & \text{Added 7 to each side}\\\end{array}

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\begin{array}{rclcrcl}23 - 7& = & 16 & \qquad &23&=&4(7) - 5\\16 & = & 16 & \qquad &23& = &28 - 5\\&&& \qquad &23& = &23\\\end{array}

OK.

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