Question

Which statements are always true regarding the diagram? Check all that apply. m∠5 + m∠3 = m∠1 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180° Mark this and return

Answer 1

Given :   A triangle with internal and external angles

To Find : Which statements are always true regarding the triangle

m∠5 + m∠3 = m∠1

m∠3 + m∠4 + m∠5 = 180°

m∠5 + m∠6 =180°

m∠2 + m∠3 = m∠6

m∠2 + m∠3 + m∠5 = 180°

Solution:

External angle of triangle = Sum of opposite interior angles

m∠1 = m ∠3 + m∠5

m∠4 = m ∠2 + m∠5

m∠6 = m ∠2 + m∠3

Linear Pair

m∠1  + m ∠2 = m ∠3  + m∠4 =  m∠5 + m∠6 = 180°

m∠2 + m∠3 + m∠5 = 180°  Sum of angles of triangle

m∠5 + m∠3 = m∠1  is  TRUE

m∠5 + m∠6 = 180°  TRUE

m∠2 + m∠3 = m∠6  TRUE

m∠2 + m∠3 + m∠5 = 180°  TRUE

m∠3 + m∠4 + m∠5 = 180°   CAN Never be True as m ∠3  + m∠4 = 180°

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Answer 2

Answer:

C, D, and E are correct

Step-by-step explanation:

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