Сборник задач по подготовке учащихся к международным исследованиям timss и pisa

Task 8. Setting the angle bisector

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Task 8. Setting the angle bisector.
Build and angle bisectors.
Question 1:
Is it true that the resulting angle is greater than a given angle?
Answer:
______.
Question 2
. Is it true that the resulting angle is less than the given angle?
Answer:
______.
Question 3.
Is it true that the resulting angle of 2 twice this angle?
Answer: ______.
Question 4
. Is it true that the resulting angle of less than 2 times of the corner?
Answer
: _____.
Task 9. The corners of the triangle.
In the triangle ABC The apex angle is 48 °, adjacent to the angle C is an angle of
102 °.
Question 1.
What is the value of the angle ACB?

Answer: ______.
Question 2.
What is the magnitude of the angle BAC?

Answer: ______.
Question 3.
What is the value of the external angle at vertex A?

Answer: ______.
Question 4:
What is the value of the external angle at vertex B?

Answer
: _____.
Task 10. An isosceles triangle.
In an equilateral triangle, the value of the sum of the exterior angles at the base
3180.
Question 1.
Can there be an internal angle of the triangle apex obtuse?

Answer: ______.
Question 2.
Find the angles of the triangle.
Answer: _____.
Task 11. The corners of the triangle.
In the triangle ABC apex angle C equals 57 °, adjacent to the corner angle A is
163 °.

138
Question 1
. What is the value of the angle BAC?
Answer:
______.
Question 2.
What is the magnitude of the angle ABC?

Answer: ______.
Question 3.
What is the value of the external angle at vertex B?

Answer: ______.
Question 4:
What is the value of the external angle at vertex C?

Answer: _____.

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