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
A 6-foot pine tree was planted and grew 2 feet each year Write an algebraic expression for the height after y years?
gladu [14]
6+2y, since the tree is already 6 feet, it grows 2 feet per year so you add 2 feet to the 6 feet every year
6 0
3 years ago
Find the sum of the first 9 terms of the following series, to the nearest integer.
Arturiano [62]
367 is the best answer I came up with
4 0
3 years ago
If you take out a loan for $561.60 over eight years at an interest rate of 9.3%, what is the total amount you will have to repay
yKpoI14uk [10]

Answer:417.84

Step-by-step explanation:

7 0
2 years ago
The vertex of the parabola below is at the point (1.-3). Which of the equations below could be the one for this parabola?
Ilia_Sergeevich [38]

Answer: Choice D. y = (x-1)^2 - 3

The vertex is (h,k) = (1,-3). So h = 1 and k = -3.

We have a = 1 as the leading coefficient.

Plug those values into the equation below

y = a(x-h)^2 + k

y = 1(x - 1)^2 + (-3)

y = (x - 1)^2 - 3

3 0
3 years ago
Read 2 more answers
6th grade mathematics<br> Find the number that makes the ratio equivalent to 40:16<br><br><br> 5:
sineoko [7]

Answer:

5:2

Step-by-step explanation:

40÷5=8

16÷2=8

hope this helps you!!

4 0
2 years ago
Read 2 more answers
Other questions:
  • The probability of an event is 1. Which word best describes this probability? A. certain B. impossible C. likely D. unlikely
    12·1 answer
  • If f(x)=2x^2+3x and g(x)=x-2 what is (f+g)(2)
    14·2 answers
  • The GCF of seven and 21 is
    6·1 answer
  • Use a definite integral to find an expression that represents the area of the region between the given curve and the x-axis on t
    13·1 answer
  • Simplify (5 + 1)^2- (11 +32) divided by 4
    10·1 answer
  • 15<br> 17) 2635<br> - 1700<br> 935<br> (5 points)<br> Blank 1:1
    7·1 answer
  • Write an algebraic expression for a number squared divided by 2 and added to 16
    6·1 answer
  • 5c+10=40.................
    9·2 answers
  • What is the length of line segment KJ?
    10·1 answer
  • 1⁄7 + 1⁄2 + 3⁄4 =???
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!