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blagie [28]
3 years ago
11

What is the value of x

Mathematics
2 answers:
Contact [7]3 years ago
6 0

Answer:

21°

Step-by-step explanation:

Since the interior angles of a triangle always add up to 180°, and you already know that one angle is 100°, you know that the sum of the remaining two angles is 80°. Therefore, you can set up an equation:

x° - 4 + 3x° = 80

x° + 3x° = 84

4x° = 84

x° = 21°

guajiro [1.7K]3 years ago
3 0

Answer:

x = 21°

Step-by-step explanation:

Total degrees in a triangle = 180°

180° - 100° = 80°

x° - 4 + 3x° = 80°

<u>Combine x values together:</u>

4x° - 4 = 80°

<u>Add 4 to each side:</u>

4x° = 84°

<u>Divide 4 from each side:</u>

x° = 84°/4° = 21°

Check your work:

21 - 4 + 3(21) = 80°

x = 21°

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