Question

a student begins to build a model of a downtown bridge in the city where he lives. he measures some of the angles formed by the sides of the model. the student says both x and y are 65. why is he incorrect? use the drop - down menus to explain your answer. click the arrows to choose an answer from each menu. the student is incorrect because x and y choose... the angles with measures x° and 40° are choose... angles, so x = choose... using the value of x to find y, y = choose...

Explanation:

Step1: Find x using complementary angles

The angle 40° and x° are complementary (form a right angle).
$x + 40 = 90$
$x = 90 - 40 = 50$

Step2: Find y using linear pair

x° and y° form a linear pair (sum to 180°).
$x + y = 180$
$y = 180 - 50 = 130$

Step3: Compare with student's claim

Student said x=y=65, but x=50 and y=130 (not equal to 65).

Answer:

The student is incorrect because x and y are not equal to 65. The angles with measures x° and 40° are complementary angles, so x = 50. Using the value of x to find y, y = 130.