. If ∠1 ≅ ∠2, m∠KHG = 70, and m∠1 = 3d + 2, find the value of d.

d = 36°

Step-by-step explanation:

If ∠1 ≅ ∠2, thia means both angles are the same.

Given m∠1 = 3d + 2 and m∠KHG = 70

Substitute m∠KHG = 70 = m<1 into the expression to get d

m<1 = 180-m∠KHG

m<1 = 180-70

m<1 = 110

110 = 3d+2

subtarct 2 from both sides

110-2 = 3d+2-2

108 = 3d

rearranging

3d = 108

Divided both sides by 3;

3d/3 = 108/3

d = 36°

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls