The expression has basic mathematical operators. is The measurement of the two angles ∠J and ∠K is 76° and 65° respectively.
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In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given to us
∠J = (7x + 13)°,
∠K = (83 - 2x)°,
the sum of the two angles is 141°.
As it is given that the sum of the two angles is 141°, therefore, the expression for the sum of the two angles can be written as,
∠J + ∠K = 141°
(7x + 13)° + (83 - 2x)° = 141°
7x + 13 +83 - 2x = 141
5x = 141 - 83 - 13
5x = 45
x = 9
Now, we got the value of x, substitute the value of x in given measurements, therefore,
∠J = (7x + 13)°
∠J = 7(9) + 13
∠J = 63 + 13
∠J = 76°
∠K = (83 - 2x)°
∠K = (83 - 2(9))°
∠K = (83 - 18)°
∠K = 65°
Hence, the measurement of the two angles ∠J and ∠K is 76° and 65° respectively.