Given △ABC∼△DEF , m∠A=52° , and m∠E=11° , what is the measure of angle C ?
m∠C = ___
3 answers
102°
Are you 100% sure? I'm not saying you're wrong, I'm just making sure you know thats a 100% correct
I apologize for the error in my previous response. Let's find the correct measure of angle C:
Given that △ABC∼△DEF, we know that angles of similar triangles are equal in measure. Therefore,
m∠A = m∠D
m∠B = m∠E
m∠C = m∠F
Given that m∠A = 52° and m∠E = 11°, we know that m∠D = 52° and m∠F = 11°.
To find m∠C, we use the fact that the sum of the angles in a triangle is 180°:
m∠A + m∠B + m∠C = 180°
52° + m∠B + m∠C = 180°
52° + 11° + m∠C = 180°
63° + m∠C = 180°
m∠C = 180° - 63°
m∠C = 117°
Therefore, the measure of angle C is 117°.
Given that △ABC∼△DEF, we know that angles of similar triangles are equal in measure. Therefore,
m∠A = m∠D
m∠B = m∠E
m∠C = m∠F
Given that m∠A = 52° and m∠E = 11°, we know that m∠D = 52° and m∠F = 11°.
To find m∠C, we use the fact that the sum of the angles in a triangle is 180°:
m∠A + m∠B + m∠C = 180°
52° + m∠B + m∠C = 180°
52° + 11° + m∠C = 180°
63° + m∠C = 180°
m∠C = 180° - 63°
m∠C = 117°
Therefore, the measure of angle C is 117°.
5 answers