147k views
4 votes
How do I solve for X ?

How do I solve for X ?-example-1

1 Answer

3 votes

The measure of angle BAC is 18 degrees.

To solve for x in triangle ABC, we use the fact that the sum of the angles in a triangle is always 180 degrees.

Since angle ABC is given as 90 degrees and angle BCA is 4 times angle BAC (4x), we can set up the following equation:

angle BAC (x) + angle BCA (4x) + angle ABC (90) = 180

By combining like terms, we get:

x + 4x + 90 = 180

This simplifies to:

5x + 90 = 180

Subtract 90 from both sides:

5x = 90

Now, divide both sides by 5 to find the value of x:

x = 18

Therefore, the measure of angle BAC is 18 degrees.

The probable question may be:

In triangle ABC, angle ABC=90 , angle BAC=x and angle BCA=4x. How do I solve for X ?

User CallumDA
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories