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Step2247 [10]
3 years ago
7

Find the measurement of angle c if angle e is 115° and angle b is 85°

Mathematics
1 answer:
fgiga [73]3 years ago
3 0

Answer:

m∠c = 30°

Step-by-step explanation:

Given:

m∠e = 115° and m∠b = 85°

To find:

m∠c

Angle e and angle a are the linear pairs.

By the property of linear pair of angles,

m∠a + m∠e = 180°

m∠e = 180° - m∠a

115° = 180° - m∠a

m∠a = 180 - 115

        = 65°

By the property of interior angles of a triangle,

m∠a + m∠b + m∠c = 180°

65° + 85° + m∠c = 180°

m∠c = 180 - 150

m∠c = 30°

Therefore, measure of angles c is 30°.

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Answer:

The percentage change is 140%

Step-by-step explanation:

Given

L= 3W_1 ---- initial dimension

W_2 = 6m --- new width

A_2 = 45m^2 --- new dimension

Required

The percentage increment

The length remains constant because only the width is extended.

The new area is:

Area =Length * Width

A_2=L * W_2

Make L the subject

L = \frac{A_2}{ W_2}

Substitute values for A and W

L = \frac{45m^2}{6m}

L = \frac{45m}{6}

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L= 3W_1

Make W1 the subject

W_1 = \frac{1}{3} * L

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A_1 = L_1 * W_1

A_1 = 2.5 * 7.5

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