x=45you would find this by taking the full angle amount (360) and subtracting the angle you already have (90) and then dividing you answer in half due to 2 of the same obtuse angles and then taking that and dividing it by 3 to get x by itself.

angle ghe is a right angle meaning it is 90 degreesif angle fhe is 57 degrees, then angle ghf should be 90 - 57 which is equal to 33 degreesangle fhd is a straight angle so it is 180 degrees.angle ghf + angle ghd = 180 degreesangle ghf = 33angle ghd = 3x33 + 3x = 1803x = 147x = 49 degreestherefore x is 49 degrees.

the key factor in the geometric figure is the 180 degrees straight line (angle dhf) 57 degrees (angle fhe) 123 degrees (angle ghf) manually figure out __________________________________________ (3x) degrees is a mechanism used to solve and proved the answer. solve for x: equation: 3x + 57 = 180 (3x) degrees + 57 degrees = 180 degrees subtract 57 from both sides (3x) degrees = 180 degrees - 57 degrees = 123 degrees (3x) degrees = 123 degrees (isolate (x) by dividing 3 from both sides) x = 123/3 = 41 degrees x = 41 degrees check answer equation 3x + 57 = 180 x = 41 3(41) + 57 =180 123 + 57 = 180 180 = 180