A А
36
B
Fig. 11.35
gure 11.35, ABCDE is a regular pentagon. If EBD = 36. find 1.2 and 3
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Answer:
<1=108
<2=<3=36°
Step-by-step explanation:
sum of all angles of pentagon=n-2X180
=5-2X180
=3X180
=540°
an angle = 540/5
=108°
<1=108°
in ∆ AEB,
AE=AB. (REGULAR PENTAGON)
<ABE=<2. (side opposite to equal side are equal)
108°+<ABE+<2=180°
2x=72
x=36
<2=36°
<36+<36+<3=108°
<3=108-72
<3=36
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