Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Can someone help me with thisin the diagram shown it is know that A, B and C are collinear with m∠CBD = 55° , m∠DBE = 3x - 5 and m∠ABE = 4x - 10 (a) algebraically determine the value of x(b) does BE bisect ∠EBC Justify your response

Can Someone Help Me With Thisin The Diagram Shown It Is Know That A B And C Are Collinear With MCBD 55 MDBE 3x 5 And MABE 4x 10 A Algebraically Determine The Va class=

Sagot :

x = 20°

BE doesnot bisect ∠EBC

Explanation:

a) m∠CBD = 55° , m∠DBE = 3x - 5 and m∠ABE = 4x - 10

m∠CBD + m∠DBE + m∠ABE = 180° (sum of angles on a line)

55° + 3x - 5 + 4x - 10 = 180

40 + 7x = 180

collect like terms:

7x = 180 - 40

7x = 140

x = 140/7

x = 20°

b) For a line to bisect an angle, it means it divided the angle into two equal parts.

To determine if BE bisect ∠EBC, we need to determine the two angles

∠DBE = 3x - 5 = 3(20) - 5 = 60 -5

∠DBE = 55

m∠ABE = 4x - 10 = 4(20) - 10 = 80 -10

m∠ABE = 70

From the diagram, EB doesn't divide ∠EBC. DB does.

BE is part of angle EBC

Hence, BE does not bisect ∠EBC

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.