Given a right triangle. One of the angles is 20^circ. Find the other 2 angles.

Question
Analytic geometry
asked 2021-02-13
Given a right triangle. One of the angles is \(\displaystyle{20}^{\circ}\). Find the other 2 angles.

Answers (1)

2021-02-14
Since it's a right triangle, one of the other angles is \(\displaystyle{90}^{\circ}\). The sum of all angles in a triangle is always 180. Let the third angle be x:
20+90+x=180
x=180-90-20
\(\displaystyle{x}={70}^{\circ}\)
Answer:
\(\displaystyle{90}^{\circ}{\quad\text{and}\quad}{70}^{\circ}\)
0

Relevant Questions

asked 2021-02-03
A circle is inscribed in a right triangle. The length of the radius of the circle is 6 cm, and the length of the hypotenuse is 29 cm. Find the lengths of the two segments of the hypotenuse that are determined by the point of tangency.
asked 2020-11-26
Are triangles necessarily congruent, is:
1. Each side of one triangle is equal to one of the other triangle's sides.
2. If the two triangles are right and each cathetus of one triangle is equal to a cathetus from the other triangle.
3. If the angles of one triangle are equal to the angles of the other triangle.
asked 2020-11-03
Given:
\(\displaystyle\theta={240}^{\circ}\)
Find the value of \(\displaystyle\theta\) in radians (in terms of \(\displaystyle\pi\))
asked 2020-12-06
Micheal came up with a design of a rectangular patio that is 25 ft by 40 ft., and that is surrounded by a terraced strip of uniform width planted with small trees and shrubs. If the A of this terraced strip is 504 ft^2, find the width (x) of the strip.
asked 2020-11-24
A triangle is given with one side equal to 18m (a) and angles laying on this side equal to \(\displaystyle{48}^{\circ}\) (A) and \(\displaystyle{37}^{\circ}\) (B). Find the ramaining angle (C) and sides (b and c).
asked 2021-01-31
Given a triangles. One angle is \(\displaystyle{42}^{\circ}\). Find the other angles if they're equal.
asked 2020-11-08
Find the six function values of \(\displaystyle{8}^{\circ}\) in terms of p, q and r, if
\(\displaystyle{{\sin{{82}}}^{\circ}=}{p}\)
\(\displaystyle{{\cos{{82}}}^{\circ}=}{q}\)
\(\displaystyle{{\tan{{82}}}^{\circ}=}{r}\)
asked 2021-01-15
Refer to right triangle ABC with \(C = 90^{\circ}.\) Begin each problem by drawing a picture of the triangle with both the given and asked­for information labeled appropriately.
Also, write your answers for angles in decimal degrees.
If \(a = 42.3\ inches\ and\ b = 32.4\) inches, find B
asked 2020-11-09
A triangle EFS, where EF is the base, is split into half with the line GH connecting to both legs.
GH=20m
FG=30m
GS=24m
HS=26m
HE=32.5m
EF=?
asked 2020-12-28
Find the radius, if
s=38,000cm
\(\displaystyle\theta={45.3}^{\circ}\)
Use the arc length formula.
...