Question

find angle x and y in figure

Answer 1

Angle(x)+90+z=180
x=z
x+z=90
45+45
Anglex=45
Angley=180-45
=135

Answer 2

Values are $\bf \angle x = {45}^{ \circ}$and $\bf \angle y = {135}^{ \circ}$

Step-by-step explanation:

Given:

• A figure.

To find:

• Find the values of angle x and angle y.

Solution:

Theorems to be used:

1. Angles opposite to equal sides are equal in triangle.
2. Sum of internal angles of triangle are 180°.
3. Sum of all angles on a straight line is 180°.

Step 1:

Find the value of $\angle \: x$.

We know that,

$\angle \: B = {90}^{ \circ}$

and

$AB=BC$

*same sign marked on both sides.

*see the attached figure.

So,

According to theorem 1 (stated above).

$\angle A = \angle \: ACB$

or

$\angle A = \angle \: ACB = {45}^{ \circ}$

As according to theorem 2,

$\angle A + \angle \: ACB + \angle \: B = {180}^{ \circ}$

or

${45}^{ \circ} + {45}^{ \circ} + {90}^{ \circ} = {180}^{ \circ}$

Thus,

Value of $\bf \angle x = {45}^{ \circ}$

Step 2:

Find the value of angle y.

As BC is a straight line.

$\angle \: ACB + \angle y = {180}^{ \circ}$

or

${45}^{ \circ} + \angle y = {180}^{ \circ}$

or

$\angle y = {180}^{ \circ} - {45}^{ \circ}$

or

$\bf \angle y = {135}^{ \circ}$

Thus,

Values are $\bf \angle x = {45}^{ \circ}$and $\bf \angle y = {135}^{ \circ}$

Learn more:

1) Value of x in the figure below is:

х

100°

60°

a) 20°

b) 40°

c) 80°

d) 160°

https://brainly.in/question/19962624

2) In the given figure, if x°, y °and z°are exterior angles of triangle ABC, then find the value of xº + y + zº.

Please don...

https://brainly.in/question/45802677

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