1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
solmaris [256]
2 years ago
11

Can someone help to find the missing angle measurements

Mathematics
1 answer:
STatiana [176]2 years ago
3 0

Answer:

Angle 1 = 75°

Angle 2 = 55°

Angle 3 = 55°

Angle 4 = 40°

Angle 5 = 140°

Angle 6 = 40°

Angle 7 = 75°

Angle 8 = 65°

Angle 9 = 115°

Step-by-step explanation:

1) We start with angle 2

Angle 2

Angles on a straight line = 180°

Hence,

b + 125° = 180°

b = 180° - 125°

b = 55°

Angle 2 = 55°

2)Angle 1

The sum of angles in a triangle = 180°

Hence

Let Angle 1 = a

50° + 55° + a = 180°

a = 180° - (50° + 55°)

a = 180° - 105°

a = 75°

3)Angle 3

Angle 2 and Angle 3 are vertical angles

So we use the Vertical angle theorem

This means

Angle 2 = Angle 3

Angle 2 = 55°

Hence, Angle 3 = 55°

4) Angle 4

Sum of Angles in a triangle = 180°

Let Angle 4 = d

Hence:

85° + Angle 3 + d = 180°

85° + 55° + d = 180°

d= 180° - (85° + 55°)

d = 180°- 140°

d = 40°

5)Angle 5

Angle 4 and Angle 5 are angles on a straight line

Sum of angles on a straight line = 180°

Angle 4 = 40°

Let Angle 5 = e

Hence:

40° + e = 180°

Collect like terms

e = 180° - 40°

e = 140°

6) Angle 6

Angle 4 and Angle 6 are vertical angles

Using Vertical angle theorem,

Angle 4 = Angle 6

Angle 4 = 40°

Hence, Angle 6 = 40°

7)Angle 9

Solving for Angle 9,

Sum of angles on a straight line = 180°

Angle 9 = i

i + 65° = 180°

i = 180° - 65°

i = 115°

8) Angle 8

= Angle 9 and Angle 8 are angles in a straight line

= Angle 8 = h

h + 115° = 180°

h = 180° - 115°

h = 65°

9)Angle 7

Sum of angles in a triangle = 180°

Angle 7 = g

g = 180° - (65° + Angle 6)

= 180° - (65 + 40

= 180° - 105°

= 75°

You might be interested in
ASAP! what numbers round to 756,000 using 2,5,5,8,6, and 2?
ioda
655,822


Please give brainliest
5 0
3 years ago
What value of x makes this equation true? 2/3x - 5 = 1/6x + 3​
Pepsi [2]

Answer:

x=16

Step-by-step explanation:

4 0
2 years ago
What is the quotient of 3/4 5/6
Advocard [28]
24 I just did this that’s the common denominator
7 0
2 years ago
Use “decomposing” to answer the questions below
Degger [83]
A) 36
B)6
If you need help with More math let me know I’m a straight A student in math
3 0
3 years ago
A man 6'2" tall Casts a 9'3" shadow how tall is a child that casts a 5'4" shadow at the same time of the day .To the nearest who
ahrayia [7]

Add 3.1 to 5.4.

The example provided shows that the shadow casted is 3.1 more than the man's actual. since it says round the nearest whole number add only 3

so: 5.4+3=8.4

That's the best I have

Hopefully this helps

4 0
3 years ago
Other questions:
  • Of five letters (a, b, c, d, and e), two letters are to be selected at random without replacement. how many possible selections
    13·1 answer
  • A toy store had 594 games.<br> It sold 62 of these games.<br> How many games are at the store now?
    10·1 answer
  • PLZ HELP!! WILL MARK BRANLYIST!!! 30 POINTS!!
    10·1 answer
  • Can somebody please help me tbh i dont understand this :'v
    8·1 answer
  • The area of a rectangle is 3,878 square centimeters. If the rectangle has a width of 14 centimeters, what is its length?
    9·1 answer
  • Certo número de caixas foi colocado em uma balança. Cada caixa tem o mesmo peso de 1,5kg. Se a balança marcou 24 kg, quantas cai
    15·1 answer
  • Y∝1√x<br> If <br> y=7 when x=64<br> find, <br> x when y=8
    11·1 answer
  • Last year, sales at a book store increased from $5,000 to $10,000. This year, sales decreased to $5,000 from $10,000. What perce
    5·1 answer
  • Line p has a slope of -7/8
    9·1 answer
  • Help!!! please!!! Confused!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!