2 years ago

Agenthammerx Please help me on this I beg you

Mathematics

1 answer:

arlik [135]2 years ago

4 0

Answer:

48°
∠Y ≅ ∠X

Step-by-step explanation:

<h3>Question 1</h3>

<u>Prove that The two triangles are congruent</u>

∠ABD ≅ ∠BDC - given
BD ≅ DB - reflexive property
∠ADB ≅ ∠CBD - given
ΔABD ≅ ΔCDB - ASA postulate

<u>Find the measure of angle C</u>

∠A ≅ ∠C - Corresponding parts of congruent triangles
m∠C = m∠A = 180° - (62° + 70°) = 180° - 132° = 48°

<h3>Question 2</h3>

<u>Given </u>

ΔXYZ with XZ ≅ YZ

Opposite angles are corresponding to the sides.

Therefore the angles opposite to congruent sides are also congruent:

∠Y ≅ ∠X

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