Question

Agenthammerx Please help me on this I beg you

Answer 1

• 48°
• ∠Y ≅ ∠X

Explanation:

Question 1

Prove that The two triangles are congruent

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

Find the measure of angle C

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

Question 2

Given

• ΔXYZ with XZ ≅ YZ

Opposite angles are corresponding to the sides.

Therefore the angles opposite to congruent sides are also congruent:

• ∠Y ≅ ∠X