Question

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Answer 1

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》The measure of the Smallest ∠ = 40°[4x°]

》The measure of the greatest ∠ = 150° [15x°]

Step-by-step explanation:

In order to find the smallest and largest ∠'s we have to find all the angles..Then we will be able to find the largest and smallest ∠'s.

Step 1

• Find x

We know that ASP of a Quadrilateral = 360°.

I.e ∠4x° + ∠7x° + ∠15x° + 10x° = 360°

4x + 7x + 15x + 10x = 360

36x = 360

x = 360 ÷ 36

x = 10°.

So, we got x as 10°..

So, the measures of the other angles

• 4x° = 4 × 10 = 40°.

• 7x° = 7 × 10 = 70°

• 15x° = 15 × 10 = 150°

• 10x = 10 × 10 = 100°

So,

• The smallest ∠ = 40° [4x°]

• The Largest ∠ = 150° [15x°]

Answer 2

Answer:

》The measure of the Smallest ∠ = 40°[4x°]

》The measure of the greatest ∠ = 150° [15x°]

Step-by-step explanation:

In order to find the smallest and largest ∠'s we have to find all the angles..Then we will be able to find the largest and smallest ∠'s.

Step 1

Find x

We know that ASP of a Quadrilateral = 360°.

I.e ∠4x° + ∠7x° + ∠15x° + 10x° = 360°

4x + 7x + 15x + 10x = 360

36x = 360

x = 360 ÷ 36

x = 10°.

So, we got x as 10°..

So, the measures of the other angles

4x° = 4 × 10 = 40°.

7x° = 7 × 10 = 70°

15x° = 15 × 10 = 150°

10x = 10 × 10 = 100°

So,

The smallest ∠ = 40° [4x°]

The Largest ∠ = 150° [15x°]

Step-by-step explanation:

@Lv02 ❤