The measure of the three angles of a quadrilateral are 650,750 and 850. The measure of fourth angle is
Answers
Answer:
your values are wrong correct values is 65,75, and 85 because some of all four angles of a quadrilateral is 360, and ur values are greater than 360
Step-by-step explanation:
let 4th Angle = a
the sum of the angles of quadrilateral = 360
=> 65+75+85+a = 360
=> 225+a = 360
=> a = 360-225 = 135
Answer:
Given :-
- The measure of the three angles of a quadrilateral are 65°, 75° and 85°
To Find :-
- What is the measure of the fourth angles of a quadrilateral.
Solution :-
Let,
➲ Fourth Angle Of A Quadrilateral = x
As we know that :
★ Sum Of All Angles Of Quadrilateral = 360° ★
According to the question by using the formula we get,
⇒ 65° + 75° + 85° + x = 360°
⇒ 140° + 85° + x = 360°
⇒ 225° + x = 360°
⇒ x = 360° - 225°
➦ x = 135°
∴ The measure of the fourth angles of a quadrilateral is 135°.
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✪ VERIFICATION ✪
↦ 65° + 75° + 85° + x = 360°
By putting x = 135° we get,
↦ 65° + 75° + 85° + 135° = 360°
↦ 140° + 220° = 360°
➲ 360° = 360°
Hence, Verified.