Question

4. Two angles of a quadrilateral are 67º and 115°, and the remaining two angles are equal.
Find the measure of each of the equal angles.
5. Two angles of a quadrilateral are 53° and 67º and the remaining two angles are in the ratin
2:3. Find the m
ofडिग्री एंड 1 डिग्री एंड थे रीमेनिंग टू एंगल ए इक्वल एंड मेजरमेंट ऑफ ईच ऑफ द एंड ​

Answer 1

only solved Q4 . couldn't find the rest sorry.

Answer 2

Answer:

4) 89° each

5) 96° and 144°

Explanation:

4) sum of all angles of a quadrilateral =360°

sum of two given angles=67°+115°

=182°

sum of remaining two unknown angles=360°-182°=178°

since the unknown angles are equal therefore let each angle be "x"

therefore; x+x=178°

2x=178°

x=89° each

5) sum of all angles of a quadrilateral=360°

sum of the two given angles=53°+67°=120°

sum of the remaining two unknown angles=360°-120°=240°

given the ratio of the unknown angles=2:3

so let the angles be "2x" and "3x" respectively

therefore;2x+3x=240°

5x=240°

x=48°

so the angles are:- 2x= 2*48°=96°

and 3x=3*48°=144°