What is the sum of the angles labeled 5 and 6? Explain how you know.

< 5 + < 6 = 180°

Step-by-step explanation:

The sum of angles 5 and 6 are 180° because they are adjacent supplementary angles--they have a common arm and a common vertex. The adjacent supplementary angles share the common line segment and vertex with each other. Two angles are also supplementary, if one of its angles is an acute angle and another angle is an obtuse angle. These characteristics match the given figure.

Therefore, < 5 and < 6 are supplementary angles, and have a sum of 180°.

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x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

80 the answer is 80

step-by-step explanation: