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An exterior angle of a triangle is equal to the sum of the two opposite interior angles.
Junior High School Mathematics ... - Page 25
by Edson Homer Taylor, Fiske Allen - 1923

## Wentworth & Hill's Exercise Manuals.(: Geometry

George Albert Wentworth - Geometry, Plane - 1884 - 266 pages
...equal. 31. Corollary II. The sum of the acute angles of a right triangle is equal to 90°. 32. Theorem. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. 33. Theorem. The sum of the angles of a quadrilateral is equal to 360°. 34. Theorem. The sum of the...

## A Primary Geometry: With Simple and Practical Examples in Plane and ...

Samuel Edward Warren - Geometrical drawing - 1887 - 200 pages
...Fig. 52, are exterior angles. The last theorem now naturally leads to the following : — Theorem. — An exterior angle of a triangle is equal to the sum of the two opposite interior angles. The angles d and CAB, Fig. 53, arc together equal to two right angles, being adjacent angles, or all...

## Exercise Manuals, Issue 3

George Albert Wentworth - 1889 - 270 pages
...Corollary II. The sum of the acute angles of a right triangle is equal to 90°. y i /" / 32. Theorem. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. X 33. Theorem. The sum of the angles of a quadrilateral is equal to 360°. 34. Theorem. The sum of...

## Wentworth & Hills's Exercise Manuals: Geometry, Issue 3

George Albert Wentworth - 1889 - 264 pages
...31. Corollary II. The sum of the acute angles of a right triangle is equal to 90°. ~ , 32. Theorem. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. 33. Theorem. The sum of the angles of a quadrilateral 'is equal to 360°. 34. Theorem. The sum of the...

## Fundamental Problems: The Method of Philosophy as a Systematic Arrangement ...

Paul Carus - Philosophy - 1889 - 267 pages
...to the stock of our knowledge something new, -.vhich we have not known before. In proving that the exterior angle of a triangle is equal to the sum of the two opposite interior angles of the same, we amplify our knowledge of the triangle by mere ratiocination, a priori. Kant uses even...

## Principles of Plane Geometry

James Wallace MacDonald - Geometry - 1889 - 80 pages
...angles are complements of each other. SCHOLIUM. The exterior angle formed by prolonging one of the sides of a triangle is equal to the sum of the two opposite interior angles. Proposition XXXIV. A Theorem. 71. In an isosceles triangle the angles opposite the equal sides are...

## Principles of Plane Geometry

James Wallace MacDonald - Geometry - 1894 - 76 pages
...angles are complements of each other. SCHOLIUM. The exterior angle formed by prolonging one of the sides of a triangle is equal to the sum of the two opposite interior angles. Proposition XXXIV. A Theorem. 71. In an isosceles triangle the angles opposite the equal sides are...

## The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 418 pages
...= 2rt. Zs. (Ax. 1) QED 98. COR. 1. Since Z EBD = ZA, and Z CBE = ZC, .-.ZCBD = ZA + ZC. Hence, the exterior angle of a triangle is equal to the sum of the two opposite interior angles. 99. COR. 2. If two angles of a triangle are given, or merely their sum, the third angle can be found...