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Dima020 [189]
3 years ago
5

Please Help!!!!!! Use what you've learned today about the sum of the interior angles of triangles and quadrilaterals to determin

e the measure of ALL unknown angles in the figure below.​

Mathematics
1 answer:
sveta [45]3 years ago
6 0

Answer:

m = 116

x = 24

y = 76

z = 40

Step-by-step explanation:

For startes the interior angles of triangles always add up to 180 degrees.

That means....

73 + 83 + x = 180

z + m + x = 180

z + y + 64 = 180

Another important fact is that two angles that are intersected by a line in the case 64 and m always add up to 180 degrees.

So m + 64 = 180

Let's start with 73 + 83 + x = 180

If you add 73 and 83 you get 156

x + 156 = 180 then subtract 156 from both sides and

x = 24

Then use m + 64 = 180 subtract 64 from both sides and

m = 116

z + m + x = 180 become

z + 116 + 24 = 180

Add 116 and 24 and you get 140

z + 140 = 180 subtract 140 from both sides and

z = 40

Check to make sure m + x + z = 180

24 + 40 + 116 = 180

z + y + 64 = 180 becomes

y + 40 + 64 = 180

40 + 64 = 104 so

y + 104 = 180 subtract 104 from both sides and

y = 76

Congratulations you have found all of the angles!

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