Question

plese answer these questions​

Answer 1

Answer:

angle ABD = 120

Step-by-step explanation:

BAC+ACB+CBA=180 (Angle sum property)

=> 70+50+CBA = 180

=> 120+CBA = 180

=> CBA = 60

then, CBA + ABD = 180 (Linear pair)

=> 60 + ABD = 180

=> ABD = 120 .

Answer 2

Required Answer :

★ The measure of ∠ABD = 120°

Given :

• ∠BAC = 70°

• ∠CAB = 50°

To find :

• ∠ABD = ?

Solution :

Firstly, we will find the ∠CBA

As we know, the sum of interior angles of triangle are 180°. So, by adding all the interior angles of the triangle and keeping them equal to 180°. We will get the value of ∠CBA.

⇒ ∠BAC + ∠CAB + ∠CBA = 180°

⇒ 70° + 50° + ∠CBA = 180°

⇒ 120° + ∠CBA = 180°

⇒ ∠CBA = 180° - 120°

⇒ ∠CBA = 60°

Therefore, the measure of ∠CBA = 60°

Now, we can calculate the measure of ∠ABD.

⇒ ∠CBA + ∠ABD = 180° [Straight line angles.]

⇒ 60° + ∠ABD = 180°

⇒ ∠ ABD = 180° - 60°

⇒ ∠ABD = 120°

Therefore,

• The measure of ∠ABD = 120°

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Know More :

• The sum of interior angles of triangle is 180°.

• Exterior angle + Interior angle = 180°

• Sum of interior angles of a polygon = (2n - 4) × 90°

• Exterior angle + Interior angle = 180°

• Exterior angles = 360°/n

What are regular polygon?

→ The polygons which have all its sides, exterior and interior angles equal to each other are known as regular polygons.