High school Math aid » Geometry » plane Geometry » triangle » Acute / Obtuse triangles » how to uncover an angle in an acute / obtuse triangle

A triangle has angles the measure

and
degrees. What is the measure up of its 3rd angle?

degrees

degrees

degrees

degrees

Explanation:

The sum of the angle of any type of triangle is always

degrees. Since the third angle will consist of the difference between
and the amount of the various other two angles, add the various other two angles together and also subtract this sum from
.

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Sum of the two provided angles:

degrees

Difference between

and this sum:
degrees

In the triangle below, AB=BC (figure is not to scale) . If edge A is 41°, what is the measure of angle B?

A (Angle A = 41°)

B C

Explanation:

If angle A is 41°, climate angle C must likewise be 41°, because AB=BC. So, the amount of these 2 angles is:

41° + 41° = 82°

Since the amount of the angle in a triangle is 180°, you can discover out the measure of the continuing to be angle by subtracting 82 from 180:

180° - 82° = 98°

Explanation:

Recall the the amount of the angle of a triangle is

degrees. Due to the fact that we are provided two angles, we can then find the third. Contact our lacking angle

We combine the choose terms on the left.

Subtract

from both sides.

Thus, we have that our missing angle is

degrees.

Explanation:

We recognize that the sum of the angle of a triangle must add up to

degrees. The two given angles amount to
degrees. Thus, a triangle cannot be formed.

Points A, B, C, D room collinear. The measure up of ∠ DCE is 130° and of ∠ AEC is 80°. Find the measure of ∠ EAD.

Explanation:

To solve this question, you need to remember the the amount of the angle in a triangle is 180°. You likewise need to remember supplementary angles. If you know what ∠ DCE is, you likewise know what ∠ ECA is. Thus you recognize two angle of the triangle, 180°-80°-50°= 50°.

If the typical (arithmetic mean) of two noncongruent angles of one isosceles triangle is

, which of the adhering to is the measure up of one of the angle of the triangle?

Explanation:

Since the triangle is isosceles, we recognize that 2 the the angles (that amount up to 180) need to be equal. The question states that the noncongruent angles average 55°, thus offering us v a device of two equations:

Solving for x and y by substitution, we gain x = 70° and y = 40° (which average out come 55°).

70 + 70 + 40 equates to 180 additionally checks out.

Since 70° is not an answer selection for us, we recognize that the 40° have to be among the angles.

Points A, B, and C room collinear (they lie follow me the very same line). The measure of edge CAD is

. The measure of angle CBD is
. The size of segment
is 4.

Explanation:

The measure up of

is
. Because
,
, and
space collinear, and the measure of
is
, we know that the measure up of
is
.

Because the steps of the three angles in a triangle must add up come

, and also two that the angles in triangle
are
and
, the third angle,
, is
.

Explanation:

Every triangle has 180 degrees. One isosceles triangle has one vertex angle and also two congruent basic angles.

Solve the equation

because that x to uncover the measure of the vertex angle.

x = 180 - 27 - 27

x = 126

Therefore the measure up of the vertex angle is

.

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