pls tell me answer the following questions pls
Answers
Solution 7 :
Total measure of two adjacent angles = 140°
Angle 1 = x ( since we dont know it's measure )
Angle 2 = 3 × x = 3x
= x + 3x = 140°
= 4x = 140°
= x = 140° ÷ 4
= x = 35°
Angle 1 = 35°
Angle 2 = 35 × 3 = 105°
Therefore , the two angles are 35° and 105° .
Solution 8 :
Sum of two angles = 90° ( because they are complementary angles )
Total parts the total angle is being divided into = 7 + 8 = 15
Each part = 90 ÷ 15 = 6
Angle 1 = 7 parts = 6 × 7
Angle 1 = 42°
Angle 2 = 8 parts = 6 × 8
Angle 2 = 48°
Therefore , the two complementary angles are 42° and 48° .
Solution 9 :
Sum of two angles = 180° ( because they are supplementary angles )
Total parts the sum of two angles is being divided into = 5 + 7 = 12
Each part = 180 ÷ 12 = 15
Angle 1 = 5 parts = 15 × 5 = 75°
Angle 1 = 75°
Angle 2 = 7 parts = 15 × 7 = 105°
Angle 2 = 105°
Therefore , the supplementary angles are 75° and 105° .
Solution 10 :
Solution (i) :
Angle x and angle 240° are forming a complete angle , which means their sum will be equal to 360° . So :
240° + x = 360°
= x = 360° - 240°
= x = 120°
Therefore , the unknown angle x = 120° .
Solution (ii) :
Angle e , angle 117° and angle 146° are forming a complete angle , which means their sum will be equal . So :
= e + 117° + 146° = 360°
= e + 263° = 360 °
= e = 360° - 263°
= e = 97°
Therefore , the unknown angle e = 97°
Solution (iii) :
= Let us name the unknown angle as ' n ' .
Then ,
= n + 90° + 105° + 25° = 360° ( because angle n , angle 90° , angle 25 ° and angle 105° are forming a complete angle )
= n + 220° = 360°
= n = 360 - 220
= n = 140°
Therefore , the unknown angle = 140° .
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