Answer:
28. m<A=20°, m<B=70°
32. m<A=103°, m<B=77°
Step-by-step explanation:
complementary angle=a+b=90°
supplementary angle=a+b=180°
28. A+B=90°
5x+17x+2=90°
22x+2=90°
22x=90-2
22x=88
22x/22=88/22
x=88/22=<u>4</u>
m<A=5x=5*4=<u>20°</u>
m<B=17x+2=17*4+2=68+2=<u>70°</u>
<u>Check</u>
A+B=90°
20+70=90°
<u>90°=90°</u>
32. A+B=180°
x+11+x-15=180°
2x-4=180°
2x=180+4
2x=184
2x/2=184/2
x=184/2
x=<u>92</u>
m<A=x+11=92+11=<u>103°</u>
m<B=x-15=92-15=<u>77°</u>
<u>Check</u>
A+B=180°
103+77=180°
<u>180°=180°</u>
Since CM is perpendicular to AB, it follows that ∠1 and <span>∠2 are 90 degrees. Since they both have 90 degree angles, that must mean they are both right triangles.
And since </span>∠3 = ∠4 and ∠1 = ∠2, then it follows that ∠A = <span>∠B. (You can show this by showing that they must add up to 180 degrees.)
So since both right triangles have 3 congruent angles to each, then that makes them similar by AAA (angle angle angle).</span>
Answer:
2nd one
Step-by-step explanation:
Step-by-step explanation:
Fig rolls = 1.08
Half price = 1.08 ÷ 2 = 0.54
Total price = 1.08 + 0.54 = 1.62
