Ask question

Ask question

All categories

1 year ago

12

The size of an exterior angle of a triangle is the supplement of smaller of two opposite interior angles If the greater of the o

pposite interior angles exceeds the smaller by 30 degrees , find the measure of the interior angles of the triangle.

1 answer:

Irina-Kira [14]1 year ago

5 0

The two interior angles of the triangle is 75 and 105 degree.

<h3>What is the exterior angle theorem ?</h3>

According to the exterior angle theorem , The size of an exterior angle of a triangle is the sum of of smaller of two opposite interior angles.

It is given that

Let the measure of the two interior angle be x and y

then

The size of an exterior angle of a triangle is the supplement of smaller of two opposite interior angles

x+ y = 180

the greater of the opposite interior angles exceeds the smaller by 30 degrees , find the measure of the interior angles of the triangle.

x = y+30

By substitution method

y+30+y = 180

2y +30 = 180

2y = 150

y = 75 degree and x = 105 degree.

Therefore the two interior angles of the triangle is 75 and 105 degree.

To know more about exterior angle theorem

brainly.com/question/956912

#SPJ1

You might be interested in

Right triangle ABC is similar to right triangle DEF. If the side lengths for triangle ABC are 15, 20, 25, respectively, which va

solniwko [45]

Answer:

$A = 15$ $B = 20$ $C = 25$

$D = 30$ $E = 40$ $F = 50$

$D = 3$ $E = 4$ $F = 5$

Step-by-step explanation:

Given

Similar Triangles: ABC and DEF

$A = 15$

$B = 20$

$C = 25$

Required

Determine the sides of DEF

No options were given, so I will solve on a general terms.

Since both triangles are similar, then the following relationship exists.

DEF = ABC * n

i.e.

$D = A * n$ $E = B * n$ $F = C * n$

Where

$n = Scale\ Factor$

Assume n = 2.

So, we have:

$D = A * n$

$D =15 *2$

$D = 30$

$E = B * n$

$E = 20 * 2$

$E = 40$

$F = C * n$

$F = 25 * 2$

$F = 50$

Assume $n = \frac{1}{5}.$

So, we have:

$D = A * n$

$D =15 *\frac{1}{5}$

$D = 3$

$E = B * n$

$E = 20 * \frac{1}{5}$

$E = 4$

$F = C * n$

$F = 25 * \frac{1}{5}$

$F = 5$

So, the possible sides are:

$A = 15$ $B = 20$ $C = 25$

$D = 30$ $E = 40$ $F = 50$

$D = 3$ $E = 4$ $F = 5$

6 0

2 years ago

Evaluate the expression. −3/(−3)^2

Ivenika [448]

Answer: i'm not sure i wrote the problem out correctly but if this helps please give me a thanks!

Step-by-step explanation:

6 0

3 years ago

A swimming pool is a shape of a rectangular prism. The pool is 10 feet deep. It length is 3 times it's width. The volume of the

Lady_Fox [76]

Answer:

Step-by-step explanation:

V = l * w * h

27000ft3 = (2w) * w * 10ft

27000ft3 = 2w^2 * 10ft

2700 = 2w^2

1350 = w^2

W = 36.74

6 0

2 years ago

Why do the graphs tan(x) and y=x^3 look alike?

timama [110]

The key features of the graph include the fact the graphs are periodic.

<h3>How to illustrate the graph?</h3>

It should be noted that a graph is a diagram that represents ban interrelations between variables.

The tan graph is simply the visual representation of the tangent function for a range of angles.

In this case, the graphs have been attached and it can be seen that the tan graph repeats every 180° and is not a continuous curve.

Learn more about graph on:

brainly.com/question/19040584

#SPJ1

6 0

2 years ago

Determine if the following relations represent y as a function of x. x=y^4

Rudiy27

Answer:

x = y⁴ does not represent y as a function of x

Step-by-step explanation:

Let's first isolate this equation for the 'y' value :

$\mathrm{Switch\:sides} : y^4=x,\\\mathrm{For\:}x^n=f\left(a\right)\mathrm{,\:n\:is\:even,\:the\:solutions\:are\:}x=\sqrt[n]{f\left(a\right)},\:-\sqrt[n]{f\left(a\right)} : y=\sqrt[4]{x},\:y=-\sqrt[4]{x}$

So as you can tell, we have two functions. However, they can be rewritten as one function, y = ± ⁴√x. As we have two values of x that correspond to one value of y, this relation is not a function.

Solution: x = y⁴ does not represent y as a function of x

6 0

3 years ago