Question

instruction:find the angle marked with a letter.for the more difficult question it is helpful to draw a diagram​

Answer 1

$\bf {\underline {\boxed {\pink { a = 135^{\circ} }}}}$

Step-by-step explanation:

Let's take b = 90°

GIVEN

B = 90°

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We know that,

Addition of linear pair is 180°

Therefore,

90° + y = 180°

y = 180° - 90°

y = 90°

$\bf {\underline {\boxed {\pink { y = 90^{\circ} }}}}$

___________________________

We know that,

Measure of all angles of triangle = 180°

Therefore,

x + y +x = 180°

x + 90° + x = 180°

2x + 90° = 180°

2x = 180° - 90°

2x = 80°

x = 90° / 2

x = 45°

$\bf {\underline {\boxed {\pink { x = 45^{\circ} }}}}$

___________________________

We know that,

Addition of linear pair is 180°

Therefore,

45° + a = 180°

a = 180° - 45°

a = 135°

$\bf {\underline {\boxed {\pink { a = 135^{\circ} }}}}$