All categories

2 years ago

Unit 4: Congruent Triangles Homework 2: Angles of Triangles

1 answer:

5 0

The value of the third angle that can be found in the information given about the congruent triangles will be 45°.

<h3>How to solve the triangle?</h3>

From the complete information, the angles that are given in the triangle are 76° and 59°.

It should be noted that the value of the total angles that are in a triangle is 180°. Therefore, the value of the last angle will be:

= 180° - (76° + 59°)

= 180° - 135°

= 45°

Learn more about triangles on:

brainly.com/question/17335144

You might be interested in

A surveyor sights the far bank of a river at an angle of 110° to the near bank. She then moves 75 feet upriver and sights the sa

Leya [2.2K]

Answer:

Correct answer is 54.82 ft.

Step-by-step explanation:

First of all, let us label the diagram and do the construction as per the attached answer image.

Let us consider $\triangle ABC$ :

$\angle B = 90^\circ\\\angle ACB = 180-110 = 70^\circ$

Let side AB = d ft and let side BC = x ft

We need to find AB to find the shortest distance across the river.

Using trigonometric identity of tangent:

$tan\theta = \dfrac{Perpendicular}{Base}$

$tan 70 = \dfrac{d}{x}\\\Rightarrow x = \dfrac{d}{tan70} = 0.36d ..... (1)$

Now, let us have a look at another right angled triangle ABD:

Let us consider $\triangle ABC$ :

$\angle B = 90^\circ\\\angle ADB = 180-150 = 30^\circ$

side AB = d ft and side BD = x+75 ft

Using trigonometric identity of tangent:

$tan\theta = \dfrac{Perpendicular}{Base}$

$tan 30 = \dfrac{d}{x+75}\\\text{Using equation (1)}:\\0.577 = \dfrac{d}{0.36d+75}\\\Rightarrow 0.207d + 43.27 = d\\\Rightarrow 0.793d = 43.27\\\Rightarrow d \approx 54.82\ ft$

Correct answer is 54.82 ft.

7 0

3 years ago

A triangle has an angle that measures 90°. What type of triangle could it be? (Choose all that apply)

OLEGan [10]

Right and scalene. A right triangle has an angle that measures to be 90° and using the pythagorean theorem, we know that the triangle is scalene, meaning that all three sides have different side lengths. (:

3² + 4² = 5²

4 0

3 years ago

Read 2 more answers

Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this t

Novay_Z [31]

Seven and six are your answers

3 0

3 years ago

Read 2 more answers

5208 divided by 4 in long division

Veronika [31]

Answer:

1 3 0 2

4 5 2 0 8

− 4

1 2

− 1 2

0 0

− 0

0 8

− 8

Step-by-step explanation:

4 0

3 years ago

What is 6.16×10*6 in standard form?

Paladinen [302]

Answer:

6.16×10*6

Step

6=2+_AT ERATLION

Question

What is in standard form?-by-step explanation:

8 0

3 years ago