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jeka94
3 years ago
5

Maths help PLZZ!!!

Mathematics
1 answer:
Kay [80]3 years ago
8 0

Triangle ABC is an isosceles triangle.

Solution:

Given data:

AB is parallel to CD and AC is the transversal.

∠ABC = 70° and ∠ACD = 55°

<em>If two parallel lines are cut by a transversal, then alternate interior angles are congruent.</em>

∠BAC ≅ ∠ACD

m∠BAC = m∠ACD

m∠BAC = 55°

<em>Sum of the angles in a straight line = 180°</em>

m∠ACD + m∠ACB + m∠ABC = 180°

55° + m∠ACB + 70° = 180°

m∠ACB + 125° = 180°

Subtract 125° from both sides, we get

m∠ACB = 55°

In triangle ABC,

∠BAC = 55° and ∠ACB = 55°

∠BAC = ∠ACB

<em>Two angles in the triangle are equal. </em>

Therefor triangle ABC is an isosceles triangle.

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