Question

In the figure angle ABD=120°and angle BAC=40°.Find angle BCA.​

Answer 1

Answer:

80°

Step-by-step explanation:

Exterior angle of the triangle = Sum of two interior opposite angles of the triangle

120° = 40° + x°

x° = 120° - 40°

x° = 80°

Hope this helps you.

Answer 2

Answer:

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \large \: \: \underline{ \boxed { \sf \large \star \: m\angle \: BCA = 20\degree \: }} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Step-by-step explanation:

➠ GIVEN :•

• m∠ABD = 120°

• m∠BAC = 40°

➠ TO FIND OUT :•

• m∠BCA = ?

➠ HINT :•

• We know that sum of measures of three angles of a triangle is always equal to 180°.

➠ SOLUTION :•

⟾ m∠ABD + m∠BAC +m∠BCA = 180 °

⟾ 120° + 40° + m∠BCA = 180°

⟾ 160° + m∠BCA = 180°

⟾ m∠BCA = 180° - 160°

⟾ m∠BCA = 20°

➠ CHECK YOURSELF :•

• 120° + 40° + 20° = 180°

★ Thus , m∠BCA = 20°

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~@amna3961 ★ ✔︎