Question

Find the values of the angles x, y, and z in the following figure:
25°
40°

​

Answer 1

Answer:

x = 115 °

y = 115 °

z = 115 °

Step-by-step explanation:

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Answer 2

The given question is Find the values of the angles x, y, and z in the following figure:

25°

40°

In the figure, two values were given as 25° and 40°.

As we know that the angle of a straight line is 180°.

The given straight line with the angle on the top is

40°+25°+x=180°.

By using the above values we can find the value of x, the value of x is obtained as

$40 + 25 + x = 180 \\ 65 + x = 180 \\ 115$

Therefore, the value of x is obtained as 115°

The angle of 40° is opposite to the angle of z.

Therefore, the value of z is also 40°.

The angle of a straight line is 180°.

The angle below the line is

y+z=180°.

substituting the value of z, we get

$y + 40 = 180 \\ y = 180 - 40 \\ y =1 40$

Therefore, the value of y is obtained as 40°.

Therefore, the value of x, y, and z is obtained as 115°, 140°and 40° respectively.

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