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>
Answer:
x = ±4
Step-by-step explanation:
Step 1: Write out quadratic
2x² - 5 = 27
Step 2: Add 5 to both sides
2x² = 32
Step 3: Divide both sides by 2
x² = 16
Step 4: Take the square root of both sides
x = ±4
∴ x can equal -4 or 4
Answer:
1) ∠M
2) MT, GT
3) ∠G
4) not enough information...because we are given two congruent sides but an angle that is not included.
5) SAS because two sides are congruent (including the one they share) and an included angle.
6) SSS because three sides are congruent (including the one they share).
