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If five angles of a heptagon have measures of 80 85 175 90 and 140 and if the other two angles are congruent what is the measure of each of the other two angles?

Interior angles add up to 900 degrees So: 900-80-85-175-90-140 = 330 And: 330/2 = 165 degrees which is the measure of the congruent angles


If five angles of a heptagon have measures of 80 85 175 and 140 and if the other two angles are congruent what is the measure of each of the other two angles?

The sum of the interior angles of a heptagon is calculated using the formula ( (n-2) \times 180 ), where ( n ) is the number of sides. For a heptagon, this is ( (7-2) \times 180 = 900 ) degrees. Adding the given angles (80 + 85 + 175 + 140) gives 480 degrees. Let the measure of each of the two congruent angles be ( x ). Therefore, the equation is ( 480 + 2x = 900 ), which simplifies to ( 2x = 420 ), so ( x = 210 ) degrees. Each of the other two angles measures 210 degrees.


Do Congruent supplementary angles each have a measure of 90 degrees?

No, congruent supplementary angles do not each measure 90 degrees. Supplementary angles are defined as two angles whose measures add up to 180 degrees. If two angles are congruent and supplementary, they would each measure 90 degrees, but this is a specific case rather than a general rule. In general, congruent supplementary angles can have any measure that adds up to 180 degrees, as long as they are equal.


What is the sum of the measure of the angles in a figure having seven sides?

It is called a Heptagon. The sum of the measures of the angles of a heptagon is 900 degrees. See the related link for more info on types of polygons.


Name all angles that are congruent.?

Congruent angles are angles that have the same measure. For example, if angle A measures 30 degrees and angle B also measures 30 degrees, then angles A and B are congruent. Additionally, angles that are vertically opposite when two lines intersect are also congruent. In general, any angles that are equal in measurement are considered congruent.

Related Questions

What is the measure of each individual angle in a heptagon?

A heptagon has 7 sides and 7 angles. The sum of the interior angles is 900°. If the heptagon is a regular heptagon, meaning all sides and angles are congruent, then the formula (180(n-2))/ n gives the individual interior angle measure. "n" is the number of sides in this case. In a regular heptagon, the interior angle measures 128 4/7 degrees.


If the measures of a heptagon are 127 152 112123135and 105 what the measure of the remaining angle?

It is 146 degrees.


If five angles of a heptagon have measures of 80 85 175 90 and 140 and if the other two angles are congruent what is the measure of each of the other two angles?

Interior angles add up to 900 degrees So: 900-80-85-175-90-140 = 330 And: 330/2 = 165 degrees which is the measure of the congruent angles


If five angles of a heptagon have measures of 80 85 175 and 140 and if the other two angles are congruent what is the measure of each of the other two angles?

The sum of the interior angles of a heptagon is calculated using the formula ( (n-2) \times 180 ), where ( n ) is the number of sides. For a heptagon, this is ( (7-2) \times 180 = 900 ) degrees. Adding the given angles (80 + 85 + 175 + 140) gives 480 degrees. Let the measure of each of the two congruent angles be ( x ). Therefore, the equation is ( 480 + 2x = 900 ), which simplifies to ( 2x = 420 ), so ( x = 210 ) degrees. Each of the other two angles measures 210 degrees.


What is the angle measure for a heptagon?

128.5714286 degrees


Do Congruent supplementary angles each have a measure of 90 degrees?

No, congruent supplementary angles do not each measure 90 degrees. Supplementary angles are defined as two angles whose measures add up to 180 degrees. If two angles are congruent and supplementary, they would each measure 90 degrees, but this is a specific case rather than a general rule. In general, congruent supplementary angles can have any measure that adds up to 180 degrees, as long as they are equal.


What is the sum of the measure of the angles in a figure having seven sides?

It is called a Heptagon. The sum of the measures of the angles of a heptagon is 900 degrees. See the related link for more info on types of polygons.


What is the measure of each angle for a heptagon?

128.57 degrees


What is the sum measure of the interior angles of a heptagon?

The 7 interior angles of a heptagon add up to 900 degrees


What is the measure of the base angle of an isosceles triangle if the vertex measures 38 degrees?

(180 - 38)/2 = 71 degrees (base angles of an isosceles triangle are congruent).


What is the measure of interior angles of a convex heptagon?

900 degrees


Total measure of exterior angles of a heptagon?

360 degrees