Question

Find the third angle if remaning angles
are 2/3 of a right angle 4/5 of a right angle​

Answer 1

Step-by-step explanation:

Explanation:

First, know that all the angles in a triangle add up to 180 degrees.

Each triangle has 3 angles. Thus, we have the sum of three angles as shown:

180=A+B+C

where we have angles A, B, and C. In our right triangle, one angle is 25 degree and we'll call that angle A. The other known angle is 90 degrees and we'll call this angle B. Thus, we have

180=25+90+C

Simplify and solve for C.

180=115+C

C=65

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Find An Angle In A Right Triangle : Example Question #2

Which of the following can be two angle measures of a right triangle?

Possible Answers:

60∘,60∘

35∘,55∘

100∘,10∘

60∘,40∘

38∘,42∘

Correct answer:

35∘,55∘

Explanation:

A right triangle cannot have an obtuse angle; this eliminates the choice of 100 and 10.

The acute angles of a right triangle must total 90 degrees. Three choices can be eliminated by this criterion:

60+40=100

38+42=80

60+60=120

The remaining choice is correct: 35+55=90

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Find An Angle In A Right Triangle : Example Question #3

A right triangle has an angle that is 15 more than twice the other. What is the smaller angle?

Possible Answers:

25

30

10

15

20

Correct answer:

25

Explanation:

The sum of the angles in a triangle is 180. A right triangle has one angle of 90. Thus, the sum of the other two angles will be 90.

Let x = first angle and 2x+15 = second angle

So the equation to solve becomes x+2x+15=90 or 3x=75

Thus, the first angle is 25 and the second angle is 65.

So the smaller angle is 25

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Find An Angle In A Right Triangle : Example Question #4

Angle A in the triangle shown below (not to scale) is 35 degrees. What is angle B?

Right_triangle_sides_and_points

Answer 2

Answer:

I am not sure of the answer but I'm trying to answer it......

So, a right angle always measures=90⁰.

We also know that the sum of angles of a triangle =180⁰(ASPT)

Hence, the final answer will be 48⁰.

Pls refer below for the steps.....

Step-by-step explanation:

Let the three angles of the triangle be A, B, C.

A,B,C=180⁰.(ASPT)

Let the first angle be A, second be B, and third be C.

Given: 1 of the angles = 2/3 of right angle.

Hence, 2/3×90⁰ =60⁰

Therefore, A=60⁰

Given: 1 of the angles=4/5of a right angle.

Hence, 4/5×90⁰=72⁰

Therefore, B=72⁰

BY SUBSTITUTING WE GET-

A+B+C=180⁰

60⁰+72⁰+C=180⁰

132⁰+C=180⁰

C=180⁰-132⁰

C=48⁰

Therefore, the value of the third angle will be 48⁰.

Hence, solved.

HOPE IT HELPS