Question

find the unknown angle marked in each of the following figures:
find and solve this triangle​

Answer 1

1)80+25+X=180°(ANGLE SUM PROPERTY OF TRIANGLE)

105°+X=180

X=180°-105°

X=75°

2)2X+6X+X=180°(ANGLE SUM PROPERTY OF TRIANGLE)

9X=180°

X=180°÷9

X=20°

SO,

ANGLE P IS EQUAL TO 2X

PUT X =20°

2×20°

40°

angle q is equal to 6X

6×20°

120°

ANGLE R IS EQUAL TO X

20°

3)X+X+40°=180°(ANGLE SUM PROPERTY OF TRIANGLE)

2X=180°-40°

X=140°÷2

X=70°

4)3X+90°+2X=180°(ANGLE SUM PROPERTY OF TRIANGLE)

5X=180°-90°

X=90°÷5

X=18°

SO,

3X=3×18°

54°

2X=2×18°

36°

5)