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NikAS [45]
3 years ago
5

Could someone help me with this? Im lost

Mathematics
1 answer:
Talja [164]3 years ago
6 0

A straight angle measures 180 degrees.

Angle x and the 150-degree angle form a straight angle.

x + 150 = 180

x = 30

Angle z and the 100-degree angle form a straight angle.

z + 100 = 180

z = 80

Now you know the measures of two angles of the three angles of the triangle. The sum of the measures of the angle of a triangle equals 180 degrees.

x + y + z = 180

30 + y + 80 = 180

y + 110 = 180

y = 70

Answer: x = 30; y = 70; z = 80

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In light of the fact that point y is the point at which segment xz is divided, the value of the variable an is equal to 4.

<h3>How can I determine what the value of the variable an is?</h3>

Due to the fact that point y divides segment xz into two distinct halves, the following equation may be used to get segment xz's total length:

xz = xy + yz.

The following are the parameters for the test:

xy = 7a. yz = 5a. xz = 6a + 24.

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6a + 24 = 7a + 5a

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a = 24/6

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