We appreciate your visit to Ray PB bisects angle APC If the measure of angle APB is tex 2x 14 circ tex and the measure of angle BPC is tex. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
By setting the measures of the bisected angles APB and BPC equal to each other and solving for x, we find that the measure of the full angle APC is 72 degrees.
Explanation:
Since ray PB bisects angle APC, we know that the two angles created, APB and BPC, are equal.
We can set the measure of angle APB (2x + 14 degrees) equal to the measure of angle BPC (4x - 8 degrees) to find the value of x. Solving for x gives us:
2x + 14 = 4x - 8
2x = 22
x = 11
To find the measure of angle APC, we double the measure of one of the bisected angles since they are equal:
Angle APB is 2x + 14 degrees, so:
Measure of angle APB = 2(11) + 14 = 36 degrees
Measure of angle APC = 2(36 degrees) = 72 degrees
Therefore, the measure of angle APC is 72 degrees.
Thanks for taking the time to read Ray PB bisects angle APC If the measure of angle APB is tex 2x 14 circ tex and the measure of angle BPC is tex. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
