Answer:
1). angle 3= 48° [by vertically opposite angle]
2). angle 4 = 132° [by linear pair]
3). angle 5 = 50° [angle 6 and angle 5 are complementary angles]
4). angle 8 =36° [angle 7 and angle 8 are complementary angles]
5). angle 6 = 31° [sum of angle on straight line is 180°]
6). angle 8=33° [sum of angles on straight line is 180°]
7). angle 9=40° [sum of angles of triangle is 180°]
8). angle 3= 30°[angle 9 and 12 are linear pair and 9 is part of the triangle. so, sum of all angle of triangle is 180° ]
9). angle 15= 80° [sum of angles of triangle is 180°]
10). angle 8=35° [sum of angles of triangle is 180°]
11). angle 7=66°[sum of angles of triangle is 180°]
12). angle 14=105° [Sum of angles of triangle is 180°]
13). angle 12=130°[by sum of angle is 180°we'll find 9 then by linear pair angle 12= 130°]
14). angle 8=55° [ angle 14 and 16 are equal by vertically opposite angles and angle 14+angle 8+angle 3=180°]
15). angle 15=90°[first find 7 and 9 by sum of 90°and sum 180° then sum of angles of triangle is180°]
16). angle 16=95°[angle 7 and 8 are complementary angles and angle 1 and 3 are equal by vertically opposite angles now we have our two angles of the triangle so we can find third angle because sum of angle of triangle is 180°]
All the angles are ∠3= 48°, ∠4 = 132°, ∠5 = 50°, ∠8 =36°,∠6 = 31°, ∠8=33° ,
∠9=40° , ∠3= 30°, ∠15= 80°, ∠8=35°,∠7=66° , ∠12=130°, ∠8=55° , ∠15=90°, ∠16=95°.
Angles are the part that is formed by the intersection of two lines. The measure of the opening part between the two intersecting lines is called angle.
1). ∠3= 48°, by vertically opposite angle, ∠14=105°
2). ∠4 = 132°, by linear pair
3). ∠5 = 50° because ∠6 and ∠5 are complementary angles
4). ∠8 =36° because ∠7 and ∠8 are complementary angles
5). ∠6 = 31° by the sum of angle on a straight line is 180°
6). ∠8=33° by the sum of angle on a straight line is 180°
7). ∠9=40° by the sum of angle on a straight line is 180°
8). ∠3= 30° because ∠9 and ∠12 are linear pairs and ∠9 is part of the triangle. so, the sum of angles on a straight line is 180°.
9). ∠15= 80° by the sum of angle on a straight line is 180°
10). ∠8=35° by the sum of angle on a straight line is 180°
11). ∠7=66° by the sum of angle on a straight line is 180°
12). ∠14=105° by the sum of angle on a straight line is 180°
13). ∠12=130° by the sum of angle on a straight line is 180°, we'll find 9 then by linear pair angle 12= 130°]
14). ∠8=55° because ∠14 and ∠16 are the same by vertically opposite angles and the Sum of angles of a triangle is 180°
15). ∠15=90°, first find 7 and 9 by the sum of 90°and sum 180° then sum of angles of triangle is180°]
16). ∠16=95° ∠7 and ∠8 are complementary angles and ∠1 and ∠3 are equal by vertically opposite angles so we can find the third angle because the sum of angles of a triangle is 180°.
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