2. In the adjoining figure line p || line q. Line t and line s are transversals. Find measure of Zx and Zy using the measures of angles given in the figure.
Answers
Step-by-step explanation:
where is the figure please say
Answer:
Given:
Line p || line q, line t and line s are transversals.
Let us find the measure of ∠x and ∠y.
Maharashtra Board Solutions for Class 8 Maths Chapter 2 – image 7
Firstly, Let us consider ∠z as shown in figure.
Measure of ∠z = 40° … (i) [Since, they are corresponding angles]
So,
m∠x + m∠z = 180° [Since, angles are in a linear pair]
m∠x + 40o = 180° [From equation (i)]
m∠x= 180° – 40°
m∠x = 140°
Now, let us consider ∠w as shown in the figure.
m∠w + 70° = 180° [Since, angles are in a linear pair]
m∠w = 180° – 70°
m∠w = 110° …(ii)
It is given that, line p || line q and line s is a transversal.
So, m∠y = m∠w [by using alternate angles]
m∠y =110° [From equation (ii)]
∴ The measure of ∠x is 140° and ∠y is 110°.