Question

measure of one of the vertically opposite angles is 45° less than four times the measure of the other angle of the pair. Find the measure of both the angles.
15°​

Answer 1

Step-by-step explanation:

the angles are vertically opposite

so they are congruent

therefore,x=4x-45

3x=45

x=15

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Answer 2

Answer:

• The measure of both the angles is 15°.

Step-by-step explanation:

Given :

• The measure of the vertically opposite angles is 45° less than four times the measure of the other angle of the pair.

To Find :

• The measure of both the angles.

Calculations :

Here, it is given that vertically opposite angles is 45° less than four times the measure of the other angle of the pair. Let's consider the measure of other angles as 'x'

So, it can be written as :-

• 4x - x = 45°

Now, let us calculate the value of x, in order to find the measure of both the angles.

$\mapsto \sf {4x - x = 45^{\circ}}$

$\mapsto \sf {3x = 45^{\circ}}$

$\mapsto \sf {x = \dfrac{45^{\circ}}{3}}$

• On dividing,

$\mapsto\boxed{\sf {x = 15^{\circ}}} \: \pink{\bigstar}$

Therefore, the measure of both the angles is 15°.