1: Given the figure, find x". 1. How many sides does the figure have? 2. What is the name of the polygon? 3. What is the sum of the interior angles of a quadrilateral? 4. What is the value of x"? 50° 40° 140°
Answer (1)
Answer:Step-by-step explanation:1. How many sides does the figure have?The figure has 4 sides.2. What is the name of the polygon?A polygon with 4 sides is called a quadrilateral.3. What is the sum of the interior angles of a quadrilateral?Use the formula:Sum of interior angles=(−2)×180∘Sum of interior angles=(n−2)×180 ∘ =(4−2)×180=2×180=360∘=(4−2)×180=2×180=360 ∘ So, the sum is 360°.4. What is the value of x°?From the figure, the interior angles are:40°140°50°∘x ∘ To find x, add the known angles and subtract from 360°:=360∘−(40∘+140∘+50∘)=360∘−230∘=130∘x=360 ∘ −(40 ∘ +140 ∘ +50 ∘ )=360 ∘ −230 ∘ =130 ∘ ✅ Final Answers:4Quadrilateral360°130°
