Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

In a quadrilateral ABCD shown below it is known that BC is perpendicular to CD, angle A=3x+7, and angle C is 5x-15. given this information, which of the following a degree measure of angle A?(1) 40°(2) 55°(3) 70°(4) 82°

In A Quadrilateral ABCD Shown Below It Is Known That BC Is Perpendicular To CD Angle A3x7 And Angle C Is 5x15 Given This Information Which Of The Following A De class=

Sagot :

We know that

[tex]BC\perp CD[/tex]

Wich means that

[tex]\angle C=90[/tex]

We have an expression, in terms of x, for the values of angles A and C. Knowing the value of C, we just have to clear x from C's expression and replace it in A's:

[tex]\begin{gathered} \angle C=5x-15\rightarrow90=5x-15\rightarrow105=5x\rightarrow x=\frac{105}{5}\rightarrow x=21 \\ \text{Thus, } \\ \angle A=3x+7\rightarrow\angle A=3(21)+7\rightarrow\angle A=63+7\rightarrow\angle A=70 \end{gathered}[/tex]

Hence, Angle A is worth 70°

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.