Question

I will give all points and brainliest if correct (100pts)
Its four questions and its about angles btw its geometry.
1) Given: m < ILJ =34°
Find: m < KLJ
a 34°
b 56°
c 146°
d 34°
2) Find m < KLG
a 180°
b 56°
c 146°
d 34°
3) Find m < HLI
a 56°
b 34°
c 90°
d 180°
4) Match each angle with its classification

Column A Column B
1. a < GLI
___Obtuse:

2. b < HLJ
____Acute:

3. c < ILJ
____Right:

Answer 1

Answer:

1)  c. 146°

2) d. 34°

3) a. 56°

4) ∠GLI  →  obtuse angle

   ∠HLJ  →  right angle

   ∠ILJ   →  acute angle

Step-by-step explanation:

Given:

• m∠ILJ = 34°
• m∠HLG = 90° (right angle)

Question 1

Angles on a straight line sum to 180°

⇒ m∠KLJ + m∠ILJ  = 180°

⇒ m∠KLJ + 34°  = 180°

⇒ m∠KLJ = 180° - 34°

⇒ m∠KLJ = 146°

Question 2

Angles on a straight line sum to 180°

⇒ m∠KLG + m∠KLJ = 180°

⇒ m∠KLG + 146°  = 180°

⇒ m∠KLG = 180° - 146°

⇒ m∠KLG = 34°

Question 3

Angles on a straight line sum to 180°

⇒ m∠HLI + m∠HLG + m∠ILJ = 180°

⇒ m∠HLI  + 90° + 34° = 180°

⇒ m∠HLI = 180° - 90° - 34°

⇒ m∠HLI = 56°

Question 4

• Acute angle = less than 90°
• Obtuse angle = more than 90° and less than 180°
• Right angle = 90°

⇒ m∠GLI = m∠HLG + m∠HLI

⇒ m∠GLI = 90° + 56°

⇒ m∠GLI = 146°  →  obtuse angle

⇒ m∠HLJ = 180° - m∠HLG

⇒ m∠HLJ = 180° - 90°

⇒ m∠HLJ = 90°  →  right angle

⇒ m∠ILJ = 180° - m∠KLJ

⇒ m∠ILJ = 180° - 146°

⇒ m∠ILJ = 34° →  acute angle

Answer 2

#1

m<KLJ

• 180-34
• 146°

#2

m<KLG=m<ILJ as they are Opposite angles

• m<KLG=34°

#3

m<HLI

• 90-34
• 56°

#4

m<GLI

• 90+56
• 146°
• Obtuse

m<HLJ

• 90°
• Right

m<ILJ

• 34
• ACUTE