In right triangle abc, ∠a = 90° and ∠c is 18° less than twice the measure of ∠b. what is the measure of ∠b?
a) 18
b) 36
c) 54
d) 72

B = 36

Step-by-step explanation:

C = 2B -18 is the direct translation of the statement given in the question.

Since the sum of all angles of a triangle is 180.

A+B+C = 180

90 + B + (2B-18) = 180

solve for B

B = 36

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

step-by-step explanation:

abc