Question

PLEASE HELP I WILL GIVE BRAINLIEST

Answer 1

Since this is a quadrilateral (4-sided polygon). The sum of interior angles has to be equal to 360.

Let x be the missing angle:

$x + 105 + 113 + 75 = 360$

$x + 293 = 360$

$x = 360 - 293$

$x = 67$

Answer 2

As we know that, for any shape with sides n, the sum of all it's interior angles is (n - 2) × 180°, so as the Shape ABCD is a quadrilateral with 4 sides, so sum of it's all interior angles is just going to be (4 - 2) × 180° = 2 × 180° = 360°, so if we assume the missing angle be $\bf \angle A$, by using the sum property we will be having ;

${:\implies \quad \sf \angle A+105{\degree}+113{\degree}+75{\degree}=360{\degree}}$

${:\implies \quad \sf \angle A+293{\degree}=360{\degree}}$

${:\implies \quad \sf \angle A=360{\degree}-293{\degree}}$

${:\implies \quad \boxed{\bf{\angle A=67{\degree}}}}$