Properties of plane figures

Angles in a triangle

Types of exercises: angles in an isosceles triangle, exterior angle of a triangle.

Exercises are drawn at random from a large bank - every click gives a different set.

Solved: 0 of 10

1

Problem

In triangle ABC the interior angles at vertices B and C have equal measures, and the exterior angle at vertex A measures 130°. How many degrees is the interior angle at vertex B?

2

Problem

In triangle ABC the sides AC and BC are equal. The exterior angle at vertex A measures 127°. How many degrees is angle ACB?

3

Problem

The angles of triangle ABC at vertices B and C measure 72° and 38°. How many degrees is the exterior angle of this triangle at vertex A?

4

Problem

Triangle ABC is acute and its sides AC and BC are equal. The altitude AD is drawn (point D lies on side BC). Angle BAD measures 12°. How many degrees is angle ACB?

5

Problem

In triangle ABC the exterior angle at vertex B measures 107°, and the exterior angle at vertex C measures 107°. How many degrees is the interior angle at vertex A?

6

Problem

Each base angle of an isosceles triangle is 2 times the angle between the equal sides. How many degrees is each base angle?

7

Problem

In triangle ABC the exterior angle at vertex C measures 139°, and the interior angle at vertex B measures 92°. How many degrees is the interior angle at vertex A?

8

Problem

In triangle ABC the sides AC and BC are equal. The exterior angle at vertex C measures 66°. How many degrees is angle CAB?

9

Problem

The angles of triangle ABC at vertices C and A measure 59° and 20°. How many degrees is the exterior angle of this triangle at vertex B?

10

Problem

The angle between the equal sides of an isosceles triangle is 72° larger than each base angle. How many degrees is the angle between the equal sides?

This address is one particular set - everyone who opens it gets exactly the same exercises. Copy the link from the address bar and send it to the class. You can generate a new set at the top of the page.

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Angles in a triangle - exercises with solutions (Properties of plane figures) | PhiBoard