Question

Two congruent angles of a kite measure 105଴ . Remaining angles are in the ratio of 1 : 3. Find the ratio of all 4 angles of this kite​

Answer 1

Answer:

Kindly find the solution below.

Step-by-step explanation:

Kite is a quadrilateral too, so the sum of all its angles will be 360°.

So let the two angles which are in the ratio of 1:3 be x and 3x respectively.

By angle sum property of quadrilateral,

105+105+x+3x= 360°

210+4x=360

4x= 360-210

4x= 50

x= 12.5

So the angles are x=12.5 and 3x= 37.5.

So the ratios will be 2.1 : 2.1 : 1 : 3.