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4 years ago

Angle a and angle b are vertical angles with measue of angle a=x and measure of angle b=5x-80

Mathematics

1 answer:

Gelneren [198K]4 years ago

8 0

Answer:

we know that

Vertical Angles are the angles opposite each other when two lines cross. They are always congruent to one another

in this problem

∠A and ∠B are vertical angles

∠A=∠B

we have

∠A=

∠B=

equate angle A and angle B

solve for x

therefore

the answer is

the measure of angle A is

Step-by-step explanation:

Hope it helps:)

Brainliest pls? Have a good day/night

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Mandy is building a rectangular garden pond with the area of 12ft^2. The length of pool needs to be 2 ft more than twice the wid

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The length of rectangular pool is 6 ft and width of rectangular pool is 2 ft.

Step-by-step explanation:

Given,

Area of rectangular pool = 12 square feet

Let,

Width of pool = w

Length of pool = l = 2w+2

Area = Length * Width

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Dividing each term by 2;

$\frac{2w^2}{2}+\frac{2w}{2}-\frac{12}{2}=0\\w^2+w-6=0\\w^2+3w-2w-6=0\\w(w+3)-2(w+3)=0\\(w+3)(w-2)=0\\$

Either,

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Or,

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As width cannot be negative, therefore,

Width of rectangular pool = 2 ft

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The length of rectangular pool is 6 ft and width of rectangular pool is 2 ft.

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Angle a and angle b are vertical angles with measue of angle a=x and measure of angle b=5x-80​

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