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3 years ago

If △CAT∼△DOG m∠C=105∘ m∠T=(x+11)∘ m∠O=3x∘ Find m∠O

1 answer:

8 0

Answer:
m∠O = 48°

Explanation:
If △CAT∼△DOG, then:
m∠C = m∠D
m∠A = m∠O
m∠T = m∠G

In a triangle, the sum of all interior angles is 180°, so:
m∠C + m∠A + m∠T = 180°

Substitute information given in the problem:
105° + m∠A + (x + 11)° = 180°

Since m∠A = m∠O, and m∠O = 3x°, then m∠A = 3x°
105° + 3x° + (x + 11)° = 180°

Simplify and isolate ‘x’.
105° + 3x° + x° + 11° = 180°
116° + 4x° = 180°
4x° = 64°
x = 16°

Solve for m∠O using x = 16° and m∠O = 3x°.
m∠O = 3(16°)
m∠O = 48°

Therefore, the measure of ∠O is 48°.

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

Important information:

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Questions that Need to be Answer:

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2 years ago

Solve the given quadratic equation. x^2=112

motikmotik

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

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Another way to do this would be to make a chart/table:

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And thus, we get the same answer.

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