Question

In a quadrilateral ABCD, the measure of three angles A, B, C are 110°, 70° and 80° respectively. Find fourth angle ​

Answer 1

Given :-

• The measure of A = 110°

• The measure of B = 70°

• The measure of C = 80°

To Find :-

• The measure of fourth angle, D

Solution :-

We know that,

the sum of the four angles of a quadrilateral ABCD is __

⟼ ∠A + ∠B + ∠C + ∠D = 360°

Now put the given values

⟼ 110° + 70° + 80° + ∠D = 360°

⟼ ∠D = 360° - 260°

⟼ ∠D = 100°

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Hence, the measure of the fourth angle D is = 100°

Answer 2

★ ${\underline{\underline{\large{\bold{\red{Answer:-}}}}}}$

The value of ∠D = 100°

★ Given :

In a quadrilateral ABCD,

• ∠A = 110°
• ∠B = 70°
• ∠C = 80°

★ To Find :

• The value of ∠D

★ Solution :

We know that,

A quadrilateral has four angles and the sum of the angles = 360°

∠A + ∠B + ∠C + ∠D = 360°

Or, 110° + 70° + 80° + ∠D = 360°

Or, 260° + ∠D = 360°

Or, ∠D = 360° - 260° = 100°

$\therefore$ The value of ∠D = 100°