1.

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»

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°.


Discussion

No Comment Found

Related InterviewSolutions