What is the value of x? x = 23, x = 35, x = 58, x = 93

Solution:

Given, SQR is a triangle

The values of angles S and R are 35° and 58°

We know, sum of interior angles of a triangle = 180°

i.e. ∠S + ∠R + ∠Q = 180°

35° + 58° + ∠Q = 180°

93° + ∠Q = 180°

∠Q = 180° - 93°

∠Q = 87°

Now, PQR is a straight line.

Straight angle = 180°

x° + ∠Q = 180°

x° + 87° = 180°

x° = 180° - 87°

x° = 93°

Therefore, the value of x is 93°

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What is the value of x? x = 23, x = 35, x = 58, x = 93

Summary:

The value of x is 93°. We know, sum of interior angles of a triangle = 180°