Aim Whats outside the triangle Do Now Find

Find the measure of angle z and x. B 47 + 36 = 83

remote interior angles E B 144 z 00 144 360 470 A exterior angle

remote interior angles exterior angle E B 360 133 z 0 470 A 970

B x y w C A An exterior angle of a triangle is an

Find the value of variable s 130 128. 50 Exterior Angle Theorem s 0

Model Problems = 70 105 = 35 70 F m QTS = m x

Model Problems Explain how you find m 3 if m 5 = 130 and

Model Problems C 80 o 2 x + 30 o 50 130 50 xoo

The measure of an exterior angle of a triangle is 1200. If the measure

Slides: 10

Download presentation

Aim: What’s outside the triangle? Do Now: Find the measure of angle z. B 360 470 A Aim: Exterior Angles z C Course: Applied Geo.

Find the measure of angle z and x. B 47 + 36 = 83 The sum of the 360 measure of the angles of a triangle 830 is 1800. 470 x 0 97 z 0 83 C A D 47 + 36 + z = 180 83 + z = 180 z = 97 ACB and BCD are supplementary 97 + x = 180 Aim: Exterior Angles x = 83 Course: Applied Geo.

remote interior angles E B 144 z 00 144 360 470 A exterior angle 47 + 97 = 144 970 C ABC and CDE are supplementary 36 + z = 180 z = 144 Aim: Exterior Angles Course: Applied Geo.

remote interior angles exterior angle E B 360 133 z 0 470 A 970 C 36 + 97 = 133 CAB and BAE are supplementary 47 + z = 180 z = 133 Aim: Exterior Angles Course: Applied Geo.

B x y w C A An exterior angle of a triangle is an angle formed by a side of the triangle and the extension of another side of the triangle. w is an exterior angle of triangle ABC x & y are nonadjacent interior angles often called remote interior angles The measure of an exterior angle of a triangle is equal to the sum of the measures of the two nonadjacent interior angles. Exterior Angle Theorem Aim: Exterior Angles w=x+y Course: Applied Geo.

Find the value of variable s 130 128. 50 Exterior Angle Theorem s 0 + 130 = 128. 50 s 0 = 115. 50 Find the value of variable s 80 so o 50 o 130 o Isosceles triangle Base angles of an isosceles triangle are congruent. Aim: Exterior Angles Course: Applied Geo.

Model Problems = 70 105 = 35 70 F m QTS = m x = 70 alternate interior s Exterior Angle Theorem 105 = 70 + z 35 = z Aim: Exterior Angles Course: Applied Geo.

Model Problems Explain how you find m 3 if m 5 = 130 and m 4 = 70. 5 = 130 o 2 4 = 70 o 3 1 m 5 is an exterior angle of a triangle. Its measure equals the sum of m 3 + m 4, the remote interior angles of the triangle. Given that m 5 = 1300 and m 4 = 700, m 3 must be 600, the difference between m 5 and m 4. Aim: Exterior Angles Course: Applied Geo.

Model Problems C 80 o 2 x + 30 o 50 130 50 xoo xo D A B Isosceles triangle m DAC + m CAB = 180 2 x + 30 + x = 180 3 x + 30 = 180 3 x = 150 x = 50 Aim: Exterior Angles Course: Applied Geo. Base angles of an isosceles triangle are congruent.

The measure of an exterior angle of a triangle is 1200. If the measure of one of the remote angles is 200 less than three times the other remote angle, find the measure of the two remote angles. Exterior Angle Theorem 3 x - 20 1200 x x = smaller of two remote angles 3 x - 20 = larger of two 3 x – 20 + x = 120 4 x – 20 = 120 4 x = 140 x = 35 Aim: Exterior Angles = 35 = 85 1200 Course: Applied Geo.

Related presentations