In the roof truss, line bg bisects ∠abc and ∠def, m∠abc= 112°, and ∠abc≅∠def. find the measure of each angle. m∠def= m∠abg= m∠cbg= m∠deg=

Step-by-step explanation:

We have been given that ∠ABC≅∠DEF, so the measure of their corresponding will be equal.

Since line BG bisects ∠ABC and measure of angle ABC is 112 degrees, so measure of angle CBG and ABG will be half the measure of angle ABC.

Therefore, measure of angle CBG and angle ABG will be 56 degrees.

We have been given that measure of angle DEF is equal to 112 degrees.

Since both triangles are congruent, so measure of angle DEG will be equal to measure of angle ABG.

Therefore, measure of angle DEG is 56 degrees.

step-by-step explanation:

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!