The measure of an angle which forms a pair of equal supplementary angles with itself is
Let the measure of the anlge be x∘. Then, ∴x∘+x∘=180∘⇒2x∘=180∘⇒x∘=90∘
Which of the following statements are true., (T) and which are false (F)?
(i) Angles forming a linear pair are supplementary. (ii) If two adjacent angles are equal, then each angle measures 90∘. (iii) Angles forming a linear pair can both be acute angles. (iv) If angles forming a linear pair are equal, then each of these angles is of measure 90∘.
Two angles whose sum, is 180∘ are called supplementary angles. Four angles are formed at the intersection of two lines. How many pairs of supplementary angles and equal angles are formed?
In the adjoining figure, name the following pairs of angles.
(i) Obtuse vertically opposite angles
(ii) Adjacent complementary angles
(iii) Equal supplementary angles
(iv) Unequal supplementary angles
(v) Adjacent angles that do not form a linear pair