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zaharov [31]
3 years ago
13

Find the measure of each angle indicated.

Mathematics
2 answers:
Levart [38]3 years ago
7 0

Answer:

55

Step-by-step explanation:

Butoxors [25]3 years ago
4 0

Answer: the measure of the indicated angle is 100 degrees

Step-by-step explanation:

The sum of angles in a triangle is 180 degrees. Let x represent the unknown angle in the bigger triangle. Therefore,

x + 80 + 25 = 180 degrees

x + 105 = 180

x = 180 - 105 = 75 degrees.

Let z represent the other unknown angle in the smaller triangle. Since the sum of the angles on a straight line is 180 degrees, therefore

75 + 55 + z = 180

130 +z = 180

z = 180 - 130 = 50 degrees

Let y represent the unknown angle that we are looking for. Therefore,

50 + y + 30 = 180

80 + y = 180

y = 180 - 80 = 100 degrees

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