Question Video Finding The Measure Of Two Angles Inside A Square Using First calculate the other interior angle in the triangle, angle 𝐵𝐹𝐴, by using the fact that the angle sum in a triangle is 180 degrees. and then calculate 𝑦 as it’s on the straight line with this angle. and therefore, the sum of these two angles is also 180 degrees. our solution to the problem then, 𝑥 is equal to 35 degrees. We can fill in the angles that we know to give us 28 degrees plus 45 degrees plus the measure of angle 𝐷𝐸𝐴 equals 180 degrees. so 73 degrees plus the measure of angle 𝐷𝐸𝐴 would be a 180 degrees. so to find the measure of angle 𝐷𝐸𝐴, we would subtract 73 from both sides, giving us a 180 degrees minus 73 degrees, giving.
Question Video Finding The Measure Of An Angle In A Square Us All angles inside a quadrilateral add together to make 360 degrees. we then noticed that the four angles inside our quadrilateral were all equal. so, we knew that if we divided 360 by four, we could find the value of one of the angles. we used a division fact that we already knew to help us. and we found one angle by calculating 360 divided by. The exterior angles have a sum of 360∘ = (5)72∘. in order to find the value of the interior angle of a regular polygon, the equation is (n −2)180∘ n where n is the number of sides of the regular polygon. triangle: (3 − 2)180∘ 3 = 60∘. square (4 − 2)180∘ 4 = 90∘. pentagon (5 − 2)180∘ 5 = 108∘. without more information. Thus, knowing that all the angles are equal, the measure of an interior angle = [ (n 2) * 180] n = [ (4 2)* 180] 4 = 360 4 = 90°. also, since it's a quadrilateral and thus has the sum of interior angles equal to 360°. thus, the measure of one interior angle = 360 4 = 90°, and because a square has all its angles equal in measure, thus. The interior angles of a quadrilateral add up to 360° because there are 2 triangles in a square the interior angles in a triangle add up to 180° and for the square they add up to 360° because the square can be made from two triangles!.
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