Question

ABCD is quadrilateral what is the size of angles d​

Answer 1

Answer:

∠D = 55°

Step-by-step explanation:

∠A + ∠B + ∠C + ∠D = 360° (Interior angles of a quadrilateral measure 360)

83° + 107° + 115° + ∠D = 360°

83° + 107° + 115° + ∠D = 360°

305° + ∠D = 360°

∠D = 360° - 305°

∠D = 55°

Answer 2

$\huge{\underline{\underline{\sf{Required~answer:}}}}$

Given:

• ABCD is a quadrilateral
• ∠ABC = 107°
• ∠BCD = 115°
• ∠CDA = ?
• ∠DAB = 83°

To Find:

• Value of angle D (∠CDA)

Solution:

Here, given that given figure is a quadrilateral and ∠ABC = 107°,∠BCD = 115°and∠DAB = 83°. That means we have measure of 3 angle of quadrilateral.

We know that :

• Total sum of interior angles of any quadrilateral is always equal to 360°.

Therefore,

• Suppose that required angle is x

Now,

∠ABC + ∠BCD +∠CDA +∠DAB = 360°

→107° + 115° + x + 83° = 360°

→ 305° + x = 360°

→ x = 360° - 305°

→ x = 55°

Hence,

• $\large{\boxed{\bf{∠D~=~55°}}}$