opposite angles)
120°
P
120° = 50° + ZRPQ
ZRPQ = 120° - 50° = 70°
_RQP = 180° - (ZPRQ + ZRPQ) = 180° - (50° + 70°) = 180° - 120° = 60°
Exercise 12A
angles
1. Fill in the blanks.
(i) The exterior angle of a triangle and its adjacent interior angle form a
(ii) The exterior angle of a triangle is equal to the sum of its
angles.
(iii) If the exterior angle is 90°, then the sum of the interior opposite angles will be
and each
of the two interior opposite angles will be an
angle.
(iv) If the exterior angle is an acute angle, then each of the interior opposite angles will be
angles.
(v) If the exterior angle of a triangle is obtuse, then one of the interior opposite angles will be an acute
angle and the other interior opposite angle can be an
angle.
(vi) An exterior angle cannot be a
angle.
(vii) If the exterior angle of a triangle is 108° and one of the interior opposite angles is 76°, the measure of the
other interior angle shall be
(viii) The sum of the measures of the three angles of a triangle is
This is called the angle sum
property of a triangle.
an
or a
2. If the exterior angle of a triangle is equal to 145º and one of the interior opposite angles is 65°, find the
measure of the other interior opposite angle.
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