Find the measure of each numbered angle

Find The Measure Of Each Numbered Angle

Answers

Answer 1
measure of angle 1 is 56
measure of angle 2 is 56
measure of angle 3 is 74

All triangle’s angles add up to 180
Answer 2

The measure of each numbered angles are ∠1 =  56°, ∠2 = 56° and ∠3 = 74°.

What is Angle?

An angle for any figure is formed by two rays which joins at a common point called vertex or node.

Usually angles are measured in degrees or radians.

Consider triangle PMQ

The sum of the interior angles of a triangle is 180°.

∠MPQ + ∠QMP + ∠PQM = 180°

58° + 66° + ∠1 = 180°

∠1 =  180° - (58° + 66°)

∠1 =  180° - 124°

∠1 =  56°

Now, ∠1 and ∠2 are vertically opposite angles. Hence they are equal.

∠2 = 56°.

Again, for triangle NQO

∠2 + ∠3 + 50° = 180°

56° + ∠3 + 50° = 180°

∠3 = 180° - (50° + 56°)

∠3 = 180° - 106°

∠3 = 74°

Hence ∠1, ∠2 and ∠3 are 56°, 56° and 74° respectively.

To learn more on Angles, click:

https://brainly.com/question/28451077

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Related Questions

calculate the estimate of the mean height of the students in cm and explain your answer

Answers

Step-by-step explanation:

we find the average height of each height first,

t¹= (120+124)/2

=244/2

=122

t²= (124+128)/2

t²= 252/2

t²= 126

t³= (128+132)/2

t³= 260/2

t³= 130

t⁴= (132+136)/2

t⁴= 268/2

t⁴ =134

t⁵= (136+140)/2

t⁵= 276/2

t⁵= 138

so multiplying each height by its frequency we can find the total height, so we have..

total height= (122*7)+(126*8)+(130*13)+(134*9)+(138*3)

= 854+1008+1690+1206+414

= 5172

mean height = total height/total frequency

= 5172/40

=129.3

Alex was put on an improvement at work and they lowers his pay by 3% an hour before his decrease in pay he was making $14 an hour how much money is Alex making an hour afther his decrease in pay

Answers

Answer: Alex is making $ 13.58 after his decrease in pay.

Step-by-step explanation:

Given: Hourly pay for Alex before decrease in pay = $14

His salary decreased by 3%.

New hourly pay = Previous hourly pay - 3% of ( Previous hourly pay )

= $(14-0.03 (14))

= $ (14(1-0.03))

= $ (14(0.97))

=$ 13.58

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Answers

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Answer:

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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