Question

frnd i need with explanation help me​

Answer 1

Answer:

54 degrees

Step-by-step explanation:

complementary angles are add upto 90 degrees. Assing variables for the angles

angle one =x

angle two=y

we know that the two angels are equal each other. set up equations that represents this.

X + Y = 90. defines the total angles

2x = 3y ----> 2x - 3y = 0 defines the equality of the angles

we have a system of equations

x + y = 90. eq1

2x - 3y = 0. eq2

substitute equation 1 into 2. we can the eq2 in the term of x

2x - 3(90 - x) = 0

solve for x.

2x - 270 + 3x = 0

5x - 270 = 0

5x = 270

x = 54

substitute this value of x into eq1 to solve for y

y = 90 - x

y = 90 - 54

y = 36

the angles are 36 and 54

the larger angle is 54 degrees