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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
In kite WEAR, ∠WEA = 70° and ∠ARW = 80°. Find the remaining two angles.
Solution:
Given, WEAR is a kite.
∠WEA = 70° and ∠ARW = 80°
We have to find the remaining two angles.
In triangle ARW ,
By angle sum property of a triangle,
∠ARW + ∠RAW + ∠RWA =180°
Let ∠RAW = ∠RWA = x
80° + 2x = 180°
2x = 180° − 80°
2x = 100°
x = 50°
In triangle WEA ,
∠WEA + ∠AWE + ∠WAE = 180°
Let ∠AWE =∠WAE = y
2y + 70° = 180°
2y = 180° - 70°
2y = 110°
y = 55°
From the figure,
∠RWE = ∠RAE = x + y
= 50° + 55°
=105°
Therefore, the remaining two angles are 105° and 105°.
✦ Try This: In kite WEAR, ∠WEA = 80° and ∠ARW = 70°. Find the remaining two angles
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 5 Problem 151
In kite WEAR, ∠WEA = 70° and ∠ARW = 80°. Find the remaining two angles.
Summary:
In kite WEAR, ∠WEA = 70° and ∠ARW = 80°. The remaining two angles are 105° and 105°.
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