SOLUTION: The second angle of a triangular kite is four times as large as the first. The third angle is 25 degrees more than the sum of the other two angles. find the measure of the 2nd angl

Question 215366: The second angle of a triangular kite is four times as large as the first. The third angle is 25 degrees more than the sum of the other two angles. find the measure of the 2nd angle.
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
The second angle of a triangular kite is four times as large as the first. The third angle is 25 degrees more than the sum of the other two angles. find the measure of the 2nd angle.

Step 1. The sum of the angles in a triangle is equal to 180 degrees.

Step 2. Let x be the first angle, let 4x be the second angle, x+4x+25 be the third angle.

Step 3. Then or or

and

Check if total is 180 degrees: which is a true statement.

Step 4. The angles of the triangle are 15.5, 62, and 102.5 degrees.

I hope the above steps and explanation were helpful.

For Step-By-Step videos on Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonmetry please visit http://www.FreedomUniversity.TV/courses/Trignometry.

Also, good luck in your studies and contact me at john@e-liteworks.com for your future math needs.

Respectfully,
Dr J

RELATED QUESTIONS
the second angle of a triangular kite is four times as large as the first. The third... (answered by mananth)

The second angle of a triangular kite is four times as large as the first. The third... (answered by mananth)

Angles of a triangle. The second angle of a triangular kite is four times as large as the (answered by rfer)

The second angle of a triangular kite is four times as large as the first. The third... (answered by drj)

what is the measure of the second angle if the second angle of a triangular kite is 4... (answered by Boreal)

The second angle of a triangular garden is four times as large as the first. The third... (answered by josgarithmetic)

The second angle of a triangular building lot is three times as large as the first. The... (answered by rfer)

Angles of a triangle: The second angle of a triangular garden is four times as large as... (answered by Alan3354)

The second angle of a triangular parking lot is four times as large as the first... (answered by umail08)