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2 years ago

Yu-xi draws a triangle with two angles measuring and . what is the measure, in degrees, of the third angle? 78 79 101 102

1 answer:

4 0

Considering the definition of a right triangle and its properties, the value of the third angle of a triangle with two angles measuring 79 degrees and 23 degrees is 78 degrees.

<h3>Triangle definition</h3>

A triangle is a polygon that is determined by three line segments called sides, or by three non-aligned points called vertices.

In other words, a triangle is a polygon made up of three sides, as well as three vertices and three interior angles.

One of the properties of any triangle is that the sum of the interior angles is equal to 180°.

<h3>Missing angle value in this case</h3>

In this case, you know that:

One interior angle measures 79°.
Another interior angle measures 23°.
The sum of the interior angles is equal to 180°.

So the value of the missing angle can be calculated by:

79° + 23° + missing angle = 180°

Solving:

102° + missing angle = 180°

missing angle= 180° - 102°

<u><em>missing angle= 78°</em></u>

Finally, the value of the third angle of a triangle with two angles measuring 79 degrees and 23 degrees is 78 degrees.

Learn more about the angles of a triangle:

brainly.com/question/8936290

brainly.com/question/22027179

brainly.com/question/14080733

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Step-by-step explanation:

Given,

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Maksim231197 [3]

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4 years ago

Can anyone help me with these two plz

Evgen [1.6K]

Answer:

Part 1) The scale factor is $1.5$

Part 2) The altitude QS is $4\ units$

Part 3) The scale factor is $\frac{2}{3}$

Part 4) The value of x is $12\ units$

Part 5) The perimeter of ABCDE is $46\ units$

Step-by-step explanation:

Part 1) Find the scale factor of triangle TQR to triangle NQP

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

$z=\frac{NP}{RT}$

substitute the values

$z=\frac{24}{16}=1.5$

Part 2) Find the length of the altitude QS

we know that

To find the altitude QS, divide the altitude of triangle NQP by the scale factor

$QS=\frac{6}{1.5}=4\ units$

Part 3) Find the scale factor of FGHJK to ABCDE

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

$z=\frac{AB}{FG}$

substitute the values

$z=\frac{10}{15}=\frac{2}{3}$

Part 4) Find the value of x

we know that

The value of x is equal to multiply the length side FK by the scale factor

$AE=FK(z)$

substitute the values

$AE=18(2/3)=12\ units$

Part 5) Find the perimeter of ABCDE

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of ABCDE

y-----> the perimeter of FGHJK

$z=\frac{x}{y}$

we have

$z=\frac{2}{3}$

$y=15+9+12+15+18=69\ units$

substitute the values

$z=\frac{x}{y}$

$x=(z)(y)=\frac{2}{3}(69)=46\ units$

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4 years ago