# 1. If a vertex angle of an isosceles triangle is 50. How many degrees is the vertex angle? 2. A base angle if an isosceles triangle is 48, how many degrees is the vertex angle? 3. If a right triangle is isosceles, what is the measure of each acute angle? 4. Can an isosceles triangle be an acute triangle? Why? 5. If a triangle equiangular , how many degrees is each angle? 6. In ∆ XYZ, 7. The angles of a triangle are in ratio of 3:4:5. Find the measure of all the angles. 8. The smallest angle of triangle is 5 times the largest angle. The other angle is five times the smallest. Find the measure of all angles.

1
by lj10jauregui
In question number 1, i think we're looking for the base angle, because vertex angle is given at 50 degrees.
Number 6 is not complete.  Number 8 does not make sense. How can the smallest angle be 5 times the largest angle, and the angle between them (medium) has the biggest measurement of them all?

## Answers

• Brainly User
2016-02-17T13:42:42+08:00
1)  If the measure of vertex angle is given, solve for the base angle.
Base angle = (180 - vertex angle) ÷ 2
= (180 - 50) ÷ 2
= 130 ÷ 2
= 65°

2)  vertex angle = 180 - 2(base angle)
= 180 - 2 (48)
= 180 - 96
= 84°

3) Base angle = (180 - 90) ÷ 2
= 90 ÷ 2
= 45°
Each acute angle is 45°.

4)  Yes. Items Number 1 and 2 are examples of acute isosceles triangles.       Each angle measure less than 90°.
The measurement of angles in acute isosceles triangle in Number 1 is 65°-50°-65°.  (65 + 50 + 65 = 180°)
The measurement of angles in acute isosceles triangle in Number 2 is 48° - 84° - 48°.(48 + 84 + 48 = 180°)

5)  An equiangular triangle has 60°-60°-60° angles.

6)  (The question is not complete.)

7)  3x + 4x + 5x = 180
12x = 180
12x / 12 = 180 / 12
x = 15

Substitute 15 for x:
3 (15) = 45°
4 (15) = 60°
5 (15) = 75°

The angles measure 45°, 60°, 75°.
(45 + 60 + 75 = 180°)

8)  It does not make sense that the smallest angle is 5 times the largest number.