An exterior angle of a triangle is 140 degrees. If the non-adjacent angles are congruent, then what are the measures of all of the interior angles of the triangle?

Answers

Answer 1
Answer:

The measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees

Solution:

Given that exterior angle of triangle is 140 degrees

The exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles

Given that adjacent angles are congruent

Let one of the non adjacent interior angles be "x"

x + x = 140

2x = 140

x = 70

So the two interior angles are 70 degrees and 70 degrees

Let us find the third interior angle

The angle sum property of a triangle states that the interior angles of a triangle always add up to 180 degrees

70 + 70 + third angle = 180

third angle = 180 - 70 - 70

third angle = 180 - 140

third angle = 40 degrees

Thus the measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees


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Answers

Answer:

b

Step-by-step explanation:

Answer:

B. 1436.03 cm^3

Step-by-step explanation:

What you do is use the formula of the volume of a sphere which is

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On a given day at a local amusement park, 77% of those in attendance rode the roller coaster. There were 1,200 people at the park that day.How many people rode the roller coaster?

52 people

276 people

924 people

1,148 people

Answers

924 people rode the rollercoaster.

The answer is option (C).

What is a percentage?

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying by 100.

The percentagechange is also calculated using the same method.

In percentage change, we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

To find the number of people who rode the roller coaster,

We can multiply the total number of people at the park by the percentage who rode the roller coaster:

So,

The number of people who rode the roller coaster.

= 77% × 1,200

= 77/100 x 1200

= 924

Therefore,

924 people rode the rollercoaster.

Learn more about percentages here:

brainly.com/question/11403063

#SPJ3

924

77% of 1200 is 924

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Answers

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