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3 years ago

DG←→ and EG←→ are tangent to circle C and circle F. The points of tangency are A, B, D, and E. If m∠DFE = 140°, what is m∠ACB?

Mathematics

2 answers:

Gekata [30.6K]3 years ago

5 0

Answer:

m∠ACB=140°

Step-by-step explanation:

Given: DG and EG are tangent to circle C and circle F. The points of tangency are A, B, D, and E and m∠DFE = 140°.

To find: m∠ACB

Solution: Angle E is made between a tangent and a chord, thus its measure is equal to 90°, similarly the measure of angle B will be equal to 90°.

Now, consider the quadrilateral GEFD and using the angle sum property of the quadrilateral, we have

∠E+∠F+∠D+∠G=360°

⇒90°+140°+90°+∠G=360°

⇒∠G+320°=360°

⇒∠G=40°

Now, consider the quadrilateral GBCA and using the the angle sum property of the quadrilateral, we have

∠B+∠C+∠A+∠G=360°

⇒90°+∠C+90°+40°=360°

⇒∠C+220°=360°

⇒∠C=140°

Thus, the measure of angle ACB=140°

tia_tia [17]3 years ago

4 0

The answer is 140 degrees.

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Note:

Your question is a little unclear. But, from my understanding, I assume you may be asking the evaluation of the expression 36x - y when x = 3 and y = -6.

so I will solve based on my assumption which anyways would clear your concept.

Answer:

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Step-by-step explanation:

Given

Assuming the expression

36x - y

To Determine

Evaluate 36x - y when x = 3 and y = -6

Given the expression

$36x - y$

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kumpel [21]

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Step-by-step explanation:

Step 1: Put this into an equation

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