smileflcwer
Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Use rectangle ABCDIf mzBAC = (4x + 5)º and m CAD = (5x - 14)°, find m2CAD.

Use Rectangle ABCDIf MzBAC 4x 5º And M CAD 5x 14 Find M2CAD class=

Sagot :

Answer:

m CAD is 41°

Step-by-step explanation:

The angles in a rectangle are 90 degrees each as the sides are perpendicular. A such, given that mzBAC = (4x + 5)º and m CAD = (5x - 14)°, then

4x + 5 + 5x - 14 = 90

Rearrange the equation

4x + 5x + 5 - 14 = 90

9x - 9 = 90

Collect like terms

9x = 90 + 9

9x = 99

Divide both sides by 9

x = 99/9

= 11

Recall that  m CAD = (5x - 14)°

Substitute the value of x into the expression

Hence

m CAD = (5*11 - 14)°

= (55 - 14)°

= 41°

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.