Q: What are the four ways to classify triangles by angle measure?

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In triangles the angles can be all sorts of measurement but the three angles always add to 180 degrees. In quadrilaterals the angles usually measure to 90degrees in all four corners. But in things line trapezoids and parallelograms the angles differ. In a pentagon the angles are 120 degrees. All five of them.

An acute angle is less than 90 degrees. Dividing a square into four equal triangles would not have any acute angles since they would all be 90 degrees. A 90 degree angle is called a right angle.

A rectangle is a quadrilateral (four sided shape) with four right angles. Therefore, the measure of every angle is 90 deg.

(20-2)*180 18*180 3240 The way that I remember this is that a triangle, 3 sides, has one triangle in it. A four sided figure, if you draw one diagonal, has 2 triangles in it. So there are 2 less triangles in a figure than the number of sides. A triangle's interior angle measure is 180 degrees.

four types aressssasrhsasa1.HyL Theorem (Hypotenuse-Leg) - if the hypotenuse and leg of one triangle is congruent to another triangle's hypotenuse and leg, then the triangles are congruent.2.HyA (Hypotenuse-Angle) - if the hypotenuse and angle of one triangle is congruent to another triangle's hypotenuse and angle, then the triangles are congruent.3.LL (Leg-Leg) if the 2 legs of one triangle is congruent to another triangle's 2 legs, then the triangles are congruent.4.LA (Leg-Angle) if the angle and leg of one triangle is congruent to another triangle's angle and leg, then the triangles are congruent.

Related questions

In triangles the angles can be all sorts of measurement but the three angles always add to 180 degrees. In quadrilaterals the angles usually measure to 90degrees in all four corners. But in things line trapezoids and parallelograms the angles differ. In a pentagon the angles are 120 degrees. All five of them.

An isosceles trapezoid can be subdivided into 4 right angle triangles.

To prove that two or more triangles are similar, you must know either SSS, SAS, AAA or ASA. That is, Side-Side-Side, Side-Angle-Side, Angle-Angle-Angle or Angle-Side-Angle. If the sides are proportionate and the angles are equal in any of these four patterns, then the triangles are similar.

If you are allowed to "know" that the sum of the interior angles of a triangle is 180 degrees, then you can construct the diagonal of the four sided figure making two triangles and when you add 180 to 180 you get 360.

An acute angle is less than 90 degrees. Dividing a square into four equal triangles would not have any acute angles since they would all be 90 degrees. A 90 degree angle is called a right angle.

Triangles have only three sides; all quadrilaterals, including parallelograms, have four.

An angle in a four sided shape can have any measure in the interval (0, 360) degrees except 180 degrees.

A rectangle is a quadrilateral (four sided shape) with four right angles. Therefore, the measure of every angle is 90 deg.

In a triangle the measure of the first angle is four times the measure of the second angle. The measure of the third angle is 18 degrees more than the second angle. What is the measure of the first angle? 68 43 17 95

(20-2)*180 18*180 3240 The way that I remember this is that a triangle, 3 sides, has one triangle in it. A four sided figure, if you draw one diagonal, has 2 triangles in it. So there are 2 less triangles in a figure than the number of sides. A triangle's interior angle measure is 180 degrees.

four types aressssasrhsasa1.HyL Theorem (Hypotenuse-Leg) - if the hypotenuse and leg of one triangle is congruent to another triangle's hypotenuse and leg, then the triangles are congruent.2.HyA (Hypotenuse-Angle) - if the hypotenuse and angle of one triangle is congruent to another triangle's hypotenuse and angle, then the triangles are congruent.3.LL (Leg-Leg) if the 2 legs of one triangle is congruent to another triangle's 2 legs, then the triangles are congruent.4.LA (Leg-Angle) if the angle and leg of one triangle is congruent to another triangle's angle and leg, then the triangles are congruent.

The proof is fairly long but relatively straightforward. You may find it easier to follow if you have a diagram: unfortunately, the support for graphics on this browser are hopelessly inadequate.Suppose you have a rhombus ABCD so that AB = BC = CD = DA. Also AB DC and AD BC.Suppose the diagonals of the rhombus meet at P.Now AB DC and BD is an intercept. Then angle ABD = angle BDC.Also, in triangle ABD, AB = AD. therefore angle ABD = angle ADC.while in triangle BCD, BC = CD so that angle DBC = angle BDC.Similarly, it can be shown that angle BAC = angle CAD = angle DCA = angle ACB.Now consider triangles ABP and CBP. angle ABP (ABD) = angle CBP ( CBD or DBC),sides AB = BCand angle BAP (BAC) = angle BCP (BCA = ACB).Therefore, by SAS, the two triangles are congruent.In the same way, triangles BCP and CPD can be shown to congruent as can triangles CPD and DPA. That is, all four triangles are congruent.