In an isosceles triangle abc ab=ac and angle a=30°. Find angle b angle c
Answers
Answered by
43
a = 30 degrees
b and c must be equal because it is an isosceles triangle
sum of all angles = 180 degrees
a = 180 - 30/2
= 150 ÷ 2
= 75 degrees
Thus, b = 75 degrees
HOPE this helps u mate!!!
b and c must be equal because it is an isosceles triangle
sum of all angles = 180 degrees
a = 180 - 30/2
= 150 ÷ 2
= 75 degrees
Thus, b = 75 degrees
HOPE this helps u mate!!!
brijeshpbhkmgm92:
bas
Answered by
53
Given: a = 30°.
To find: The measure of b and c.
Answer:
Since one angle is given, (a = 30°), b = c as it is an isosceles triangle.
In an isosceles triangle, two angles are equal.
Since b = c, let us take its measure as x.
a + x + x = 180° (Angle Sum Property) (All angles of a triangle add up to 180°)
30° + x + x = 180°
30° + 2x = 180°
2x = 180° - 30°
2x = 150°
x = 150°/2
x = 75°
Therefore the measure of angles b and c is 75°.
Proof: Using Angle Sum Property, a + b + c = 180°
LHS: a + b + c
30° + 75° + 75°
= 180°
= RHS
Hope it helps :)
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