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3 years ago

PLEASE ANSWER ASAP!! e)What is the measure of ∠I? Explain

Mathematics

1 answer:

Zina [86]3 years ago

4 0

Answer:

$60^{\circ}$

Step-by-step explanation:

From the given figure it is clear that the stop board is a regular hexagon and ∠I is an exterior angle of the regular hexagon.

Exterior angle of a regular polygon with n sides $=\dfrac{360^{\circ}}{n}$

In a regular hexagon number of sides: n =6

Exterior angle of a regular hexagon $=\dfrac{360^{\circ}}{6}=60^{\circ}$

Since ∠I is an exterior angle of the regular hexagon, therefore, $\angle I=60^{\circ}$ .

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IceJOKER [234]

Answer:

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Step-by-step explanation:

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If 6 cans of soup cost $1.50, how much will 9 cans cost?

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If 6 cans of soup cost $1.50

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Dennis_Churaev [7]

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3 years ago

Read 2 more answers

Find the measure of the exterior angle in the following triangle. DUE SOON PLZ HELP WITH STEP BY STEP

PSYCHO15rus [73]

Answer:

The measure of an exterior angle = 125°

Hence, option A is correct.

Step-by-step explanation:

As the given triangle is a right-angled triangle ΔABC.

Given the angles

m∠A = 35°

m∠C = 90°

We know that the sum of angles in a triangle is 180°.

Thus,

m∠A + m∠B + m∠C = 180°

substituting m∠A = 35° and m∠C = 90° in the equation

35° + m∠B + 90° = 180°

125 + m∠B = 180°

subtract 125 from both sides

125 + m∠B - 125 = 180° - 125

m∠B = 55°

Thus, the measure of angle B is:

m∠B = 55°

As the exterior angle of the given triangle is adjacent to m∠B = 55°.

We know that the exterior angle of a triangle is equal to the sum of two opposite interior angles.

Here,

∠A and ∠C are two opposite interior angles of the exterior angle.

Thus,

The measure of an exterior angle is equal to the sum of two opposite interior angles.

m∠A = 35°

m∠C = 90°

Exterior angle = m∠A + m∠C

= 35° + 90°

= 125°

Thus, the measure of an exterior angle = 125°

Hence, option A is correct.

8 0

3 years ago