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Answer:
Ans 5
Each base angle = 36*2 = 72 degrees. IN AN ISOSCELES TRIANGLE EACH OF THE BASE ANGELS IS TWICE THE VERTICAL ANGLE. ... Triangles have angles.
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Step-by-step explanation:
6) The ratio of angle BAC and ABC is 6:7
Let these angles be (6×x)° and (7×x)°
=6x° and 7x° respectively
Angle C = 50°
By condition
6x°+7x°+50° = 180° (Angle sum property)
6x+7x+50 = 180
13x = 180-50
13x = 130
x = 130/13
x = 10
Angle BAC = (6×10)° =60°
Angle ABC = (7×10)° =70°
7) The ratio of angles of a triangle is 3:7:5
Let these 3 angles be (3×x)°,(7×x)°,(5×x)°
= 3x°, 7x°, 5x°
By condition
condition 3x°+7x°+5x° = 180°
condition 3x°+7x°+5x° = 180°3x+7x+5x = 180
condition 3x°+7x°+5x° = 180°3x+7x+5x = 18015x = 180
condition 3x°+7x°+5x° = 180°3x+7x+5x = 18015x = 180x = 180/15
condition 3x°+7x°+5x° = 180°3x+7x+5x = 18015x = 180x = 180/15x = 12
condition 3x°+7x°+5x° = 180°3x+7x+5x = 18015x = 180x = 180/15x = 12The three angles are
condition 3x°+7x°+5x° = 180°3x+7x+5x = 18015x = 180x = 180/15x = 12The three angles are(3×12)°, (7×12)°, (5×12)°
condition 3x°+7x°+5x° = 180°3x+7x+5x = 18015x = 180x = 180/15x = 12The three angles are(3×12)°, (7×12)°, (5×12)°= 36°,84°,60°