Question

5. Find the measure of angle x in each of the following figures: 66° (a) ( b (b) B C 55° 65°​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

(a)

Sum of all interior angles of quadrilateral =360

0

∴50+130+120+x=300

x=60

0

(b)

90+a=180

a=90

Sum of all angles of quad =360

x+70+60+90=360

x=140

0

(c)

70+a=180 (Linear pair)

a=110

60+b=180 (Linear pair)

b=120

Sum of measures of all angles of pentagon =540

0

∴120+110+x+x+30=540

2x=280

x=140

0

(d)

Sum of all angles of pentagon 540

Given all angles are equal

∴5x=540

x=108

0