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3 years ago

measure a and measure b are vertical angles with measure a = x and measure b = 4x - 30. what is measure a?

Mathematics

1 answer:

Zolol [24]3 years ago

3 0

Answer:

∠a = 10°

Step-by-step explanation:

The measure of ∠a = x

The measure of ∠b = 4x-30

It is also mentioned that the measure a and measure b are vertical angles. We need to find the value of a.

For vertically opposite angles,

∠a = ∠b

x = 4x-30

4x-30=x

Taking like terms together,

4x-x= 30

3x = 30

x = 10

So, the meausre of ∠a is equal to 10°.

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We simplify the left hand side by applying this property to get;

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We now rewrite the right hand side too in an index form to obtain;

$\Rightarrow 5^{1}=5^{2x}$

We now equate the exponents to get;

$\Rightarrow 1=2x$ .

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Also remember that an ordered pair is written as (x, y).

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