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3 years ago

Find the measure of Angles A, C, D

Mathematics

1 answer:

Vinil7 [7]3 years ago

8 0

Answer:

A= 65 C= 65 and D= 115

Step-by-step explanation:

given a parallelogram .

interior angles sum is 360 degree.

sum of adjacent angles is 180degree.

opposite angles are congruent (B=D).

A + B + C + D = 360

(A + D) + C + 115 = 360 since A and D are adjacent angles .

180 + 115 + C = 360

295 + C = 360

C = 360 - 295

C = 65

D = 115

A = 65

a+b+c+d=360

65 + 65 + 115 + 115 = 360

130 + 230 = 360

360 = 360

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11111nata11111 [884]

Answer:

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Step-by-step explanation:

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3 years ago

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Mumz [18]

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4 years ago

What is the arc measure of \stackrel{\LARGE{\frown}}{AC}

algol [13]

Answer:

72°

Step-by-step explanation:

Given that the radius(r) of the circle is 10 units and the length of arc ABC is 16π

The length of arc ABC = $\frac{\theta}{360}*2\pi r$

Where θ is the central angle in degrees.

Since the length of arc ABC is 16π,

$16\pi=\frac{\theta}{360}*2\pi r\\16\pi=\frac{\theta}{360}*2\pi *10\\\theta=\frac{16\pi *360}{2 \pi *10} \\\theta=288^0$

The angle in a circle = 360°, therefore:

Central angle for arc AB (θ) = 360 - Central angle for arc ABC = 360 - 288 = 72°

Therefore the arc measure of arc AB is 72°

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4 years ago

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Orlov [11]

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3 years ago