Determine the measure of angle, Mathematics

Assignment Help:

Using the expample provided below, if m∠ABE = 4x + 5 and m∠CBD = 7x - 10, Determine the measure of ∠ABE.

2177_Determine the measure of angle.png

a. 155°

b. 73°

c. 107°

d. 25°

d. ∠CBD and ∠ABE are vertical angles that are same in measurement. Solve the following equation for x: 4x + 5 = 7x - 10. Subtract 4x from both sides; 5 = 3x - 10. include 10 to both sides; 15 = 3x. Divide both sides by 3; 5 = x or x = 5. To solve for ∠ABE substitute x = 5 into the expres- sion 4x + 5 and simplify; 4(5) + 5 same 20 + 5 or 25. ∠ABE equals 25°. If you select a, you solved for ∠ABC or ∠EBD. If you select b, you considered the angles were supplementary and set the sum of the two angles same to 180. If you select c, it was the same error as choice b.


Related Discussions:- Determine the measure of angle

Area of an ellipse, You know the experation for the area of a circle of rad...

You know the experation for the area of a circle of radius R. It is Pi*R 2 . But what about the formula for the area of an ellipse of semi-minor axis of length A and semi-major

Word or term for, An irregular perimeter to the circumference of a circle s...

An irregular perimeter to the circumference of a circle such as a protrusion

Basic set union operation, Q. Basic Set Union Operation? Ans. Supp...

Q. Basic Set Union Operation? Ans. Suppose instead that your school needs to know which students are taking either art or business or both. Then the students who are ta

Inverse tangent, Inverse Tangent : Following is the definition of the inve...

Inverse Tangent : Following is the definition of the inverse tangent.  y = tan -1 x     ⇔ tan y = x                     for            -∏/2 ≤ y ≤ ?/2 Again, we have a limi

Definition of inverse functions, Definition of inverse functions :  Given...

Definition of inverse functions :  Given two one-to-one functions f ( x ) and g ( x ) if ( f o g ) ( x ) = x  AND  ( g o f ) ( x ) = x then we say that f ( x ) & g ( x ) are i

Conditional probability: dependent events, We can define the conditional pr...

We can define the conditional probability of event A, given that event B occurred when both A and B are dependent events, as the ratio of the number of elements common in both A an

Geometry, prove angle MJL is congruent to angle KNL

prove angle MJL is congruent to angle KNL

Describe segments, Describe Segments, Rays, Angles, and Triangles We now...

Describe Segments, Rays, Angles, and Triangles We now define some more basic geometric figures. 1. Segments Definition A segment is the set of two given points and all the

Excel, do you guys have excel math

do you guys have excel math

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd