Answer:
(i) 90°
(ii) CÔD
(iii) AÔD = 110°
(iv) 180°
(v) AÔD
(vi) AÔB
Step-by-step explanation:
Two angles are said to be complementary if they add up to 90°.
Complementary angles can either be adjacent or non-adjacent.
Two Angles are said to be supplementary if they add up to 180°.
Complementary angles can either be adjacent or non-adjacent.
(i) BÔC + CÔD = 25 + 65 = 90°
(ii) BÔC = 25°
Therefore the complementary angle measures 90 - 25 = 65°
So the complement of BÔC is CÔD
(iii) AÔD = 20 + 25 + 65 = 110°
(iv) AÔD + DÔE = 110 + 70 = 180°
(v) DÔE = 70°
Therefore the supplementary angle measures 180 - 70 = 110°
So the supplement of DÔE is AÔD
(vi) DÔE = 70°
Therefore the complementary angle measures 90 - 70 = 20°
So the complement of DÔE is AÔB
