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3 years ago

ANSWER ASAP PLEASEEE

Mathematics

1 answer:

irga5000 [103]3 years ago

3 0

Answer:

x = 20°

Step-by-step explanation:

Since BD = CD then Δ BCD is isosceles and its base angles are congruent, so

∠ CBD = ∠ BCD = 80° , then

∠ BDC = 180° - (80 + 80)° = 180° - 160° = 20°

∠ ADC = 180° - (80 + 60)° ← sum of angles in triangle

∠ ADC = 180° - 140° = 40° , then

∠ BDC + x = 40°

20° + x = 40° ( subtract 20° from both sides )

x = 20°

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