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A triangle has actually angles that measure

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

degrees

degrees

degrees

degrees

Explanation:

The sum of the angle of any triangle is always

degrees. Due to the fact that the third angle will comprise the distinction 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 no to scale) . If angle A is 41°, what is the measure of edge B?

A (Angle A = 41°)

B C

Explanation:

If edge A is 41°, then angle C must likewise be 41°, since AB=BC. So, the sum of these 2 angles is:

41° + 41° = 82°

Since the sum of the angles in a triangle is 180°, friend can discover out the measure of the continuing to be angle by individually 82 native 180:

180° - 82° = 98°

Explanation:

Recall the the amount of the angles of a triangle is

degrees. Because we are given two angles, we deserve to then find the third. Contact our absent angle

We combine the choose terms on the left.

Subtract

from both sides.

Thus, we have that our lacking angle is

degrees.

Explanation:

We know that the amount of the angles 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 space collinear. The measure up of ∠ DCE is 130° and of ∠ AEC is 80°. Discover the measure of ∠ EAD.

Explanation:

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

If the average (arithmetic mean) of 2 noncongruent angles of an isosceles triangle is

, i beg your pardon 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 that the angles (that amount up to 180) need to be equal. The concern states the the noncongruent angles median 55°, thus offering us with a mechanism of two equations:

Solving because that x and also y by substitution, we obtain x = 70° and y = 40° (which median out to 55°).

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

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

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

. The measure of edge CBD is
. The length of segment
is 4.

Explanation:

The measure of

is
. Because
,
, and
room collinear, and the measure up of
is
, we recognize that the measure up of
is
.

Because the actions of the 3 angles in a triangle must include up come

, and also two of the angle in triangle
are
and
, the 3rd angle,
, is
.

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Explanation:

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

Solve the equation

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

x = 180 - 27 - 27

x = 126

Therefore the measure of the vertex angle is

.

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