Question

TRY THESE
1. Two angles of a triangle are 30°and &80,°. Find the third angle.
2. One of the angles of a triangle is 80° and the other two angles are equal. Find the
measure of each of the equal angles.
3. The three angles of a triangle are in the ratio 1:2:1. Find all the angles of the triangle
Classify the triangle in two different ways.​

Answer 1

1》The third angle is 180°-(80°+30°)=70°

2》the measure of angles are (180°-80°)=100°

the equal angles are 100°/2 =50° each

3》let the common factor be x°

the three angles are 1x°,2x°,3x°

A/C

1x+2x+3x =180°

6x=180°

x=30°

therefore, the three angles are 30°,60°,90°

MARK AS BRAINLIEST

Answer 2

Answer:

1. Angle A + Angle B + Angle C = 180°

• 30°+80°-angle c = 180°
• Angle C = 180-80-30
• Angle C = 180 - 110
• Angle C = 70°

2. Angle A =80°, Angle B = Angle C

• A+B+C = 180°
• A+B+B = 180°
• A + 2B = 180°
• 2B = 180°-80°
• B = 180 - 80/2
• B = 100/2
• B = 50°

SO, Angle B = Angle C

Therefore, C = 50°

3. A:B:C = 1:2:1,

Let A, B and C be x,2x and x respectively;

• x + 2x + x =180°
• 4x = 180°
• x = 180/4
• x = 45°

Therefore, A = 45°

B = 2(45) = 90°

C = 45°

So, It is an Right angled triangle.

If u will take ratio of these angles u will comes to know that it is as same as given in the question i.e., 1:2:1 because 45:90:45 is nothing but on cutting we get 1:2:1.

I HOPE U WILL GET THE ANSWER FROM IT.................