Question

If the sum of three angles (in degrees) of a quadrilateral
is a perfect square number but the fourth angle is acute,
then the sum of all possible measures of the fourth angle
is what??​

Answer 1

Answer:

Step-by-step explanation:

Max. acute angle =89

Sum of 3 acute =89+89+89=267

Sum of 4 angles of quadrilateral =360

4  

th e

angle =360−267

=93 which is obtuse.

Answer 2

Answer:

107

Step-by-step explanation:

x+y+z+a=360

in question it states that sum of three angles is perfect square and it is such that the fourth should be acute so,

first 18^2=324

therefore

x+y+z=324

a=36°

now ,

17^2=289

x+y+z=289

a=71°

now if we take 16^2 so a will become obtuse therefore we have to stop till here

a=71+36=107