Question

3 The diagram shows two parallel lines cut by a transversal. (2x + 24) (3x) A. What kind of angle pair is formed by the two labeled angles? B. What is true about the measures of the angles? C. Complete and solve the equation to find the value of x. © Houghton Mifflin Harcourt Publishing Company Image Credit: ©Baek Daehyun/Getty Images 3x = X= D. Find the measures of the angles. 3x = 3 3( ) = 72 2x+ 24 = 21 4 =2( ) + 24 = + 24 = 72 The angles both measure

Answer 1

hello

A.

the kind of angle pairs formed by both angles is called an alternating angle

B.

both angles are equal. i.e 2x + 24 = 3x

C. to solve this, let's solve for x first

`\begin{gathered} 2x+24=3x \\ \text{collect like terms} \\ 24=3x-2x \\ 24=x \\ x=24 \end{gathered}`

x is equal to 24

x = 24

3x = 3 * 24 = 72

D. 3x = 3(24) = 72

2x + 24 = 2(24) + 24 = 48 + 24 = 72

the angles both measure 72 degrees