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Step2247 [10]
3 years ago
13

Suppose that △ OPQ is isosceles with base QP . Suppose also that m ∠ O = (5x + 43) ° and m ∠ Q = (3x + 30) ° . Find the degree m

easure of each angle in the triangle.
Mathematics
1 answer:
nexus9112 [7]3 years ago
7 0

Answer:

Measure of O: 78 degrees

Measure of Q: 51 degrees

Measure of P: 51 degrees

Step-by-step explanation:

If it has base QP, then angles Q and P are equal, so we now have the measure of angle P: It is the same as Q! This is also 3x + 30, so now we have 5x + 43 + 3x + 30 + 3x + 30 = 180, or 11x + 103 = 180, so 11x = 77, and x = 7. Plug these back in to get O = 78, Q = 51, and P is 51.

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Answer:

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Step-by-step explanation:

A way to do this that will always work is ...

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1.

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2.

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4.

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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