Question

5. x= (green)
6. x= (orange)

Answer 1

5. x = 76°, 6. x = 100°

Explanation:

5.

The triangle is isosceles, therefore x = 76°

6.

The angle on top on the right is the same as that in the bottom on the right.

The sum of angles in a triangle is 180°, therefore, the angle mentioned is:

(180° - x) / 2 = 90° - x/2

Same reasoning for the left triangle: the inner angle beside the 110° one is:

(180° - (90° - x/2)) / 2 = 45° + x/4

The sum of this angle with that of 110° is 180°:

45° + x/4 + 110° = 180°

Solving for x:

x/4 = 180° - 110° - 45°

x/4 = 25°

x = 25° * 4 = 100°

Answer 2

Explanation:

The article says all of the following except __________.

A.when an opponent's team wins all the time, spite and envy can fuel a rivalry

B.rivalries let sports fans express and share their strong feelings with others

C.rivalries give fans a way to calmy reduce their strong reactions to gamesThe article says all of the following except __________.

A.when an opponent's team wins all the time, spite and envy can fuel a rivalry

B.rivalries let sports fans express and share their strong feelings with others

C.rivalries give fans a way to calmy reduce their strong reactions to games

D.history, geography, and competitiveness can all help fuel a sports rivalry

D.history, geography, and The article says all of the following except __________.

A.when an opponent's team wins all the time, spite and envy can fuel a rivalry

B.rivalries let sports fans express and share their strong feelings with others

C.rivalries give fans a way to calmy reduce their strong reactions to games

D.history, geography, and competitiveness can all help fuel a sports rivalry can all help fuel a sports rivalry