41,849 views
31 votes
31 votes
If

m

=
21
6

m
UPE

=216

and
m

=
5
8

m
LS

=58

, find
m

L
B
S
m∠LBS.

If m ⌢ = 21 6 ∘ m UPE ⌢ =216 ∘ and m ⌢ = 5 8 ∘ m LS ⌢ =58 ∘ , find m ∠ L B S m∠LBS-example-1
User Armin
by
2.7k points

2 Answers

21 votes
21 votes

Answer:

use the way I told u down

Explanation:

Angle ABC is a straight angle.

Angles ABD and DBC are right angles.

Angles CBE and DBE are acute angles.

Angle ABE is an obtuse angle.

Angles

The sum of the three angles in any triangle is always 180°.

a + b + c = 180°

Knowing that the sum of the angles of triangle is 180° can help you to solve problems about triangles.

Angles

In this triangle, angle b is a right angle and angle c = 40°. What is the measure of angle a?

a + b + c = 180°

Since b is a right angle, b = 90°.

The problem states that c = 40°.

Therefore, a + 90° + 40° = 180°

a + 130° = 180°

a + 130° − 130° = 180° − 130°

a = 50°

Angle a measures 50°.

Angles

Click on the figure that matches this description.

An obtuse angle

Question 1 of 8

This is an acute angle. It measures less than 90°. Try again

This is a right angle. The square in the corner shows that it measures 90°. Try again

This is a straight angle. It measures 180°. Try again.

This angle is obtuse. It is greater than 90° and less than 180°.

One of these figures is an obtuse angle. Try again.

An obtuse angle is larger then a right angle and smaller then a straight angle.

Angles

Click on the figure that matches this description.

An acute angle

Question 2 of 8

This is an acute angle. It measures less than 90°.

This is a right angle. The square in the corner shows that it measures 90°. Try again

This is a straight angle. It measures 180°. Try again.

This angle is obtuse. It is greater than 90° and less than 180°. Try again.

One of these figures is an acute angle. Try again.

An acute angle is smaller then a right angle.

Angles

Click on the figure that matches this description.

A right angle

Question 3 of 8

This is an acute angle. It measures less than 90°. Try again

This is a straight angle. It measures 180°. Try again.

This angle is an obtuse angle. It measures more than 90° and less than 180°. Try again.

This is an acute angle. It measures less than 90°. Try again.

A right angle looks like a square corner and measures 90°.

A right angle measures 90°.

Angles

There are five question remaining. In each of these question, you will be asked to find the size of a missing angle.

Angles

Click on the correct answer.

Angle ABC is a right angle. If angle n is 40°, how large is angle m?

50°

140°

90°

60°

None of these

Question 4 of 8

90° − 40° = 50°

Angle m is 50°.

Angle ABC is 90° , and angle m is only part of this right angle. It is less than 90°. Try again.

Angle ABC is 90°, and angle m is only part of this right angle. Try again.

Angle m and n together from a 90° angle. Subtract 40° from 90° .Try again.

One of these is size of angle m. Try again.

Since angle ABC is a straight angle, angle m + angle n = 90°.

User Cyphase
by
2.6k points
16 votes
16 votes

In the figure, angle LBS is solved to be 137 degrees

How to find the arc

The required angle is sought using the formula

Angle LBS = 1/2 ( arc UPE + arc LS)

where

arc UPE = 216 degrees

arc LS = 58 degrees

plugging in the values

Angle LBS = 1/2 (216 + 58)

Angle LBS = 1/2 (216 + 58)

Angle LBS = 1/2 (274)

Angle LBS = 137

User Surya Raj M
by
3.1k points