In the figure triangle ABC is an isosceles triangle. If AB=AC ,Write the measures of the other two angles
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Answered by
14
Answer:The measure of other two angles is 65°
Step-by-step explanation
∠ABC=∠ACB(The opposite angles of equal sides are equal)
Let the other two angles as x
Sum of all the angles of a triangle=180°
ATQ
50°+x+x=180°
50°+2x =180°
2x =180°-50°
2x =130°
x =130/2
x =65°
Step-by-step explanation
∠ABC=∠ACB(The opposite angles of equal sides are equal)
Let the other two angles as x
Sum of all the angles of a triangle=180°
ATQ
50°+x+x=180°
50°+2x =180°
2x =180°-50°
2x =130°
x =130/2
x =65°
Answered by
33
Answer:
- 65° is the measures of other two angles.
Step-by-step explanation:
According to the Question
It is given that,
ABC is an isosceles triangle in which AB = BC and also ∠A = 50 °
We have to calculate the measures of two other angles .
As Per given Condition
➺ AB = BC
then
➺ ∠C = ∠B
Angles opposite to equal sides are equal .
Now we know that Sum of all angles in a triangle is 180° .
Let angle ∠C & ∠B be x .
Now putting the value we get
➺ ∠A + ∠B + ∠C = 180°
➺ ∠C + ∠B + 50° = 180°
➺ ∠C + ∠B = 180° - 50°
➺ ∠C + ∠B = 130°
➺ x + x = 130°
➺ 2x = 130°
➺ x = 130/2
➺ x = 65°
Since both angles are equal
Therefore measures of other two angles will be 65°
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