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2 years ago

Find the measure of angle n

Mathematics

1 answer:

Bogdan [553]2 years ago

7 0

Answer:

Step-by-step explanation:

The triangle at the top has an angle of 18. The other side will have the same angle, so combining them we will get 36. A triangle has an angle of 180, and 180-36=144.

A line is also 180 degrees, and 180-144 is 36.

Therefor the angle is 36 degrees.

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Answer:

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Step-by-step explanation:

Given

$\angle 2 = 65^{\circ}$

See attachment

Solving (a): $\angle 4$

To solve for $\angle 4$ , we make use of:

$\angle 2 +\angle 4 = 180^{\circ}$

The relationship between both angles is that they are complementary angles

Make $\angle 4$ the subject

$\angle 4 = 180^{\circ} - \angle 2$

Substitute $65^{\circ}$ for $\angle 2$

$\angle 4 = 180^{\circ} - 65^{\circ}$

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Solving (b): $\angle 3$

To solve for $\angle 3$ , we make use of:

$\angle 3 =\angle 2$

The relationship between both angles is that they are complementary angles

$\angle 3 = 65^{\circ}$

Solving (c): $\angle 7$

To solve for $\angle 7$ , we make use of:

$\angle 7 = \angle 3$

The relationship between both angles is that they are alternate exterior angles.

So:

$\angle 7 = 65^{\circ}$

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